Answer:
NOT PROPORTIONAL
Step-by-step explanation:
The given two fractions are: [tex]$ \frac{5}{8} $[/tex] and [tex]$ \frac{8}{10} $[/tex].
Proportional fractions are those which have the same value when to reduced to the simplest form.
Consider two fractions [tex]$ \frac{p}{q} $[/tex] and [tex]$ \frac{x}{y} $[/tex].
We say they are proportional if [tex]$ p : q = x : y $[/tex].
Or, if [tex]$ py = qx $[/tex] then we can say the fractions are proportional.
Here the fractions are: [tex]$ \frac{5}{8} $[/tex] and [tex]$ \frac{8}{10} $[/tex].
LHS: 5 X 10 = 50.
RHS: 8 X 8 = 64.
Clearly they are not equal. So, we can say these two fractions are not proportional.
what is the equation of the line that passes through point (4, 12) and has a intercept of -2
Answer:
[tex]\large\boxed{y=\dfrac{7}{2}x-2}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the point (4, 12), and y-intercept b = -2 → (0, -2).
Substitute:
[tex]m=\dfrac{-2-12}{0-4}=\dfrac{-14}{-4}=\dfrac{14:2}{4:2}=\dfrac{7}{2}[/tex]
Finally:
[tex]y=\dfrac{7}{2}x-2[/tex]
need help solving this
Answer:
p( <18 years old) =[tex]\frac{72162}{330623}=0.2183=21.83\%[/tex]. Here you evaluate the probability of finding people who are less than 18 years old, by comparing the amount of people who are less than 18 years old (72162), with to the total amount of people in the sample (330623).p( <18 years old /no health insurance)= [tex]\frac{7663}{46340} =0.1654=16.54\%[/tex]. This means that assuming that people does not have insurance (this happens in 46340 cases), in 7663 of this cases, besides not having insurances, the persons are lessthan 18 years old.This events are not independent, because the condition that should hold to obtain independece is that P(<18 years old/ no health insurance)= P(<18 years old), which would mean that, knowing that a person has not health insurance should not add any information to the main fact: that the person's age is below 18. If the equality does not hold, then, knowing that the person has not health insurance helps knowing about the age of the person.find a fraction between 1 3/4 and 1 7/8
Answer: 1 30000000000001/40000000000000
Step-by-step explanation:
fun
Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?
(4 minus StartRoot 19 EndRoot comma 4 + StartRoot 19 EndRoot)
(4 minus StartRoot 11 EndRoot comma 4 + StartRoot 11 EndRoot)
(4 minus StartRoot 8 EndRoot comma 4 + StartRoot 8 EndRoot)
(4 minus StartRoot 3 EndRoot comma 4 + StartRoot 3 EndRoot)
Answer:
x = 4 ± [tex]\sqrt{19}[/tex]
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{19}[/tex], that is
x = 4 - [tex]\sqrt{19}[/tex], 4 + [tex]\sqrt{19}[/tex]
Final answer:
The solution set for the quadratic equation x² - 8x = 3 is found by completing the square, resulting in (4 - √19, 4 + √19).
Explanation:
To solve the quadratic equation by completing the square, we start with x² – 8x = 3. First, we move the constant term to the other side of the equation:
x² – 8x + ____ = 3 + ____
Now we need to find a number to fill in the blanks that makes the left side a perfect square trinomial. To do this, take half of the coefficient of x, which is -8/2 = -4, and then square it, which gives us 16. Add 16 to both sides:
x² – 8x + 16 = 3 + 16
x² – 8x + 16 = 19
The left side is now a perfect square, (x – 4)² = 19. Taking the square root of both sides gives us:
x – 4 = ±√19
Add 4 to both sides to solve for x:
x = 4 ±√19
Therefore, the solution set for the equation x² – 8x = 3 is (4 – √19, 4 + √19).
Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and five chose tennis. Write the ratio in simplest form that compares the number of students
who chose tennis to the total number of students.
Answer:
Total number of students= 7+ 9+4+5= 25
Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5
Answer:
1:5
Step-by-step explanation:
First We Add The Number Of Students.
7+9+4+5=25
the students were divided into 5 kind of sports so it will be 5/25
5/25 means 1/5 and
1/5 means 1:5
A board game allows players to trade and sell game pieces of equal value. Player 1 traded three cars plus $100 for a house. Player 2 sold two houses and a car for $2300. How much is a car worth?
A car is worth $300
Step-by-step explanation:
A board game allows players to trade and sell game pieces of equal value
Player 1 traded three cars plus $100 for a housePlayer 2 sold two houses and a car for $2300We need to find how much the car is worth
Assume that the car is worth $x and the house is worth $y
∵ Player 1 traded three cars plus $100 for a house
∴ 3 x + 100 = y
- Subtract 100 from both sides
∴ 3 x = y - 100
- Subtract y from both sides
∴ 3 x - y = - 100 ⇒ (1)
∵ Player 2 sold two houses and a car for $2300
∴ x + 2 y = 2300 ⇒ (2)
Now we have system of equation to solve it
Multiply equation (1) by 2 to eliminate y
∵ 6 x - 2 y = - 200 ⇒ (3)
- Add equations (2) and (3)
∴ 7 x = 2100
- Divide both sides by 7
∴ x = 300
A car is worth $300
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MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per
4x6 inch print, along with a flat rate shipping charge of $3.00. If MaryAnn has $35 to spend, how
many prints can she order?
Answer:
213
Step-by-step explanation:
Let
x = number of picturesy = total priceThe relationship between x and y can be represented through a linear equation.
y = a . x + b
where,
a is the slope
b is the y-intercept
The slope refers to the price per print, that is, a = $0.15/p.
Then,
y = $0.15/p . x + b
Even if x = 0, there is a fixed cost of $3.00 (y = $3.00). We can replace these values in the expression above.
$3.00 = $0.15/p . 0 + b
b = $3.00
The final equation is:
y = $0.15/p . x + $3.00
If MaryAnn has $35,
$35 = $0.15/p . x + $3.00
$32 = $0.15/p . x
x = 213 p
She can order 213 prints.
find the values of x and y that satisfy the equation.
-10x+12i=20+3yi
Answer:
x = -2
y = 4
Step-by-step explanation:
Given
[tex]-10x+12i=20+3yi[/tex]
Two complex numbers are equal when they have equal real and imaginary parts.
Equate real parts:
[tex]-10x=20\\ \\x=-\dfrac{20}{10}=-2[/tex]
Equate imaginary parts:
[tex]12=3y\\ \\y=\dfrac{12}{3}=4[/tex]
Final answer:
The values of x and y that satisfy the given complex equation are x = -2 and y = 4, found by equating the real and imaginary parts respectively.
Explanation:
To find the values of x and y that satisfy the equation -10x + 12i = 20 + 3yi, we need to equate the real parts and the imaginary parts of the complex numbers on both sides of the equation.
For the real parts, we have:
-10x = 20
=> x = -2
For the imaginary parts, we have:
12 = 3y
=> y = 4
So the solution for the equation is x = -2 and y = 4.
suppose that 17 inches of wire costs 51 cents. at the same rate, how much ( in cents ) will 33 inches of wire cost?
[tex]\bf \begin{array}{ccll} inches¢s\\ \cline{1-2} 17&51\\ 33&x \end{array}\implies \cfrac{17}{33}=\cfrac{51}{x}\implies 17x=33\cdot 51\implies x = \cfrac{33\cdot 51}{17} \\\\\\ x = 33\cdot \cfrac{51}{17}\implies x = 33\cdot 3\implies x = 99[/tex]
Final answer:
To find the cost of 33 inches of wire, we calculate the cost per inch from the given 17 inches costing 51 cents, which is 3 cents per inch, and then multiply by 33 inches to get a total cost of 99 cents.
Explanation:
The student is asking to determine the cost of 33 inches of wire based on the given rate of 17 inches costing 51 cents. To solve this, we can set up a proportion where we compare the given inches of wire to the given cost and then find the cost for the desired inches of wire.
Step-by-Step Calculation:
First, we determine the cost per inch of wire by dividing the total cost by the total length of wire: 51 cents ÷ 17 inches = 3 cents per inch.
Next, we multiply the cost per inch by the desired length of wire to find the total cost: 3 cents/inch × 33 inches = 99 cents.
Therefore, 33 inches of wire will cost 99 cents at the same rate.
Find the x- and y intercepts for the linear equation
4. 3x + 2y = 6
5. 4x – 9y = 36
6. x + y = -3
8. Xx - 3y = 12
4. 3x + 2y = 6
x-intercept = 2 , y - intercept = 3
5. 4x – 9y = 36
x-intercept = 9, y - intercept = -4
6. x + y = -3
x-intercept = -3, y - intercept = -3
8. x - 3y = 12
x-intercept = 12, y - intercept = -4
Step-by-step explanation:
To find the x-intercept we put y=0 in the equation and to find the y-intercept we put x = 0 in the equation
4. 3x + 2y = 6
Putting y = 0
[tex]3x + 2y = 6\\3x +2(0) = 6\\3x = 6\\\frac{3x}{3} = \frac{6}{3}\\x= 2[/tex]
Putting x=0
[tex]3x + 2y = 6\\3(0) + 2y = 6\\2y = 6\\\frac{2y}{2} = \frac{6}{2}\\y= 3[/tex]
5. 4x – 9y = 36
Putting y = 0
[tex]4x -9y = 36\\4x - 9(0) = 36\\4x = 36\\\frac{4x}{4} = \frac{36}{4}\\x = 9[/tex]
Putting x=0
[tex]4(0) -9y = 36\\-9y=36\\\frac{-9x}{-9} = \frac{36}{-9}\\x =-4[/tex]
6. x + y = -3
Putting y = 0
[tex]x+y=-3\\x+0 = -3\\x = -3[/tex]
Putting x=0
[tex]x + y = -3\\0+y=-3\\y=-3[/tex]
8. X - 3y = 12
Putting y=0
[tex]x - 3(0) = 12\\x -0 = 12\\x = 12[/tex]
Putting x = 0
[tex]0-3y = 12\\-3y = 12\\\frac{-3y}{-3} =\frac{12}{-3}\\y=-4[/tex]
Keywords: Linear equation
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Which function has the same graph as x + y = 11? A. f(x) = -y + 11 B. f(x) = -x + 11 C. f(x) = x − 11 D. f(x) = y − 11
The real is B.) f(x) = -x + 11
A.) f(x) = -y + 11 is the wrong answer.
I have pictures to prove that they are the same in the graph as x + y = 11.
Hope this will help a lot more than the other answer.
Answer:
B.) f(x) = -x + 11
Step-by-step explanation:
The temperature rises 15 degrees Fahrenheit (ﾟF) and then drops by 8ﾟF. If the temperature started at -11ﾟF, what temperature change would be required to bring the temperature to 0ﾟF?
A) an Incase of 4ﾟF
B) a decreased of 4ﾟF
C) a decreased of 19ﾟF
D) an increase of 19ﾟF
Answer:
the answer is A)
Step-by-step explanation:
-11 + 15 = 4
4 - 8 = -4
-4 + 4 = 0
Answer:
Step-by-step explanation:
Hello
The temperature rises 15 degrees Fahrenheit (ﾟF) and then drops by 8ﾟF. If the temperature started at -11ﾟF, what temperature change would be required to bring the temperature to 0ﾟF?
A) an Incase of 4ﾟF
B) a decreased of 4ﾟF
C) a decreased of 19ﾟF
D) an increase of 19ﾟF
-11 + 15 - 8 = -19 + 15 = -4° F
A) An increase of 4° F
joe bought g: gallons of gasoline for $2.85 per gallon and c: cans for oil for 3.15 dollars.
Part A:what expression can be used go determine the total amount joe spent on gasoline and oil?
part B:if he bought 8.4 gallons of gasoline and 6 cans of oil, how much will he have spent in all?
please help! thank you :D
The expression to determine the total amount Joe spent on gasoline and oil is 2.85 * g + 3.15 * c. If Joe bought 8.4 gallons of gasoline and 6 cans of oil, he will have spent 42.84 dollars in total.
Explanation:Part A: To determine the total amount Joe spent on gasoline and oil, we need to calculate the cost of gasoline and the cost of oil separately, and then add them together.
The expression to calculate the cost of gasoline is: 2.85 * g, where 'g' represents the number of gallons of gasoline Joe bought.
The expression to calculate the cost of oil is: 3.15 * c, where 'c' represents the number of cans of oil Joe bought.
Therefore, the expression to determine the total amount Joe spent is: 2.85 * g + 3.15 * c.
Part B: If Joe bought 8.4 gallons of gasoline and 6 cans of oil, we can substitute these values into the expression we derived in Part A.
The total amount Joe spent can be calculated as follows:
Total amount spent = 2.85 * 8.4 + 3.15 * 6
Simplifying the expression:
Total amount spent = 23.94 + 18.90
Total amount spent = 42.84 dollars
Select all irrational numbers.
4√
8√
10√
15√
36√
What is .001 as a fraction with a negative exponent.
Answer:
1/1000 or 1x10^(-3)
Step-by-step explanation:
0.001=1/1000 as a fraction
With a negative exponent?
You can write it into standard notation.
It's 1x10^(-3).
0.001 as a fraction with a negative exponent is 10⁻³.
To express the decimal 0.001 as a fraction with a negative exponent, we need to understand how negative exponents work with powers of ten. The decimal 0.001 is equivalent to the fraction [tex]\frac{1}{1000}[/tex], which can be written as [tex]\frac{1}{103}[/tex].
Using the concept of negative exponents, [tex]\frac{1}{103}[/tex] can be rewritten as 10⁻³. This is because a negative exponent indicates the inverse of the corresponding positive exponent. So, 0.001 = 10⁻³.
Summary in Steps:
Convert 0.001 to a fraction: [tex]\frac{1}{1000}[/tex].Express 1/1000 as 10⁻³ using the rule of negative exponents.Therefore, 0.001 equals 10⁻³ as a fraction with a negative exponent.
What is the length of segment A.B.
Answer:
The distance between A and B is l(AB) = 13 units
Step-by-step explanation:
Given:
let,
A ≡ ( x1, y1 ) ≡ ( 0, 12 )
B ≡ ( x2, y2 ) ≡ ( 5, 0 )
To Find:
Length AB = ?
Solution:
Distance Formula for the distance between the two points ( x1, y1 ) and ( x2, y2 ) we have,
[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]
On substituting the above values we will get,
[tex]l(AB) = \sqrt{((5-0)^{2}+(0-12)^{2} )}\\l(AB)=\sqrt{(5^{2} +(-12)^{2} } \\l(AB)=\sqrt{(25+144)}\\ l(AB)=\sqrt{169} \\l(AB)=13\ unit[/tex]
Therefore the distance between A and B is l(AB) = 13 units
what is the solution to this equation 8x-5(x-3)=18
Answer:
x=1
Step-by-step explanation:
use distributive property for the negative 5, then simplify, then bring the 15 to the other side, then divide by 3. picture included.
What is one fourth of sixty?
Answer:
fifteen
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
1/4(60)=60/4=15
What is y+x=5 in function notation? The dependent variable is y.
Answer:
f(x)=5-x
Step-by-step explanation:
The equation y + x = 5 in function notation is f(x) = 5 - x, done by isolating the dependent variable, y, and expressing it as a function of x.
Explanation:The equation y + x = 5 can be rewritten in function notation by isolating the dependent variable, y, which is standard procedure in function notation. To isolate y, we need to subtract x from both sides of the equation. Thus, the equation y + x = 5 becomes y = 5 - x. In function notation, where y is typically written as f(x), this would become f(x) = 5 - x.
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Which expression is equivalent to the given expression? 2(3a+2b−7)
A 5a+4b−5
B 6a+2b−7
C 6a+4b−7
D 6a+4b−14
The expression which is equivalent to the given expression; 2(3a+2b−7) is; 6a +4b -14
Equivalent expressionsThe given expression is;
2(3a+2b−7)Upon expansion by multiplying all elements in the parenthesis by 2; we have;
2(3a+2b−7) = 6a +4b -14Read more on equivalent expressions;
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Final answer:
By distributing the 2 across each term in the expression 2(3a+2b-7), the equivalent expression is 6a + 4b - 14, which corresponds to answer choice D.
Explanation:
To determine which expression is equivalent to 2(3a+2b-7), we need to distribute the 2 across each term in the parentheses. This means we'll multiply 2 by 3a, 2b, and -7 separately. Here's the step-by-step distribution:
2 × 3a = 6a2 × 2b = 4b2 × -7 = -14Combining these results, we get the equivalent expression: 6a + 4b - 14, which matches answer choice D.
A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?
work plsss
The answer is 254.47 ft
Step-by-step explanation:
V=pi×r^2×h
pi=3.14
r=d/2
r=6/2=3
v=(3.14)×3^2×9
=254.47 ft
Answer:
54ft
Step-by-step explanation:
The formula for volume is base *height
started a new ixl and i have no idea how to do this
Answer:
y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Rearrange 3x + 18y = - 16 into this form
Subtract 3x from both sides
18y = - 3x - 16 ( divide all terms by 18 )
y = - [tex]\frac{3}{18}[/tex] x - [tex]\frac{16}{18}[/tex], that is
y = - [tex]\frac{1}{6}[/tex] x - [tex]\frac{8}{9}[/tex] ← in slope- intercept form
Simplify 5 over 3/5 divided 7/8
Step-by-step explanation:
When you divide fractions, you multiply by the reciprocal.
The new equation would be:
[tex] \frac{5}{\frac{3}{8} \times \frac{8}{7} } [/tex]
When you multiply fractions, you go straight across. You'd get 24/56 and I can already see this can be simplified.24/56 = 3/7Now you could just plug 5 ÷ 3/7 in your calculator but let's just actually solve itTurn 5 into 5/1 and then flip 3/7 to its reciprocal (7/3)[tex] \frac{5}{1} \times \frac{7}{3} = \frac{35}{3} [/tex]
35/3 = 11.66 repeating or simply:[tex]11 \frac{2}{3} [/tex]Answer:
200/21
Step-by-step explanation:
5/(3/5) divided by 7/8
First divide 5 by 3/5. To do this you must write 5 as 5/1, and multiply 5/1 by the reciprocal of 3/5 (5/3).
5/1 (5/3)
numerator: 5*5=25
denominator: 1*3=3
25/3
Then divide 25/3 by 7/8 by multiplying 25/3 by the reciprocal of 7/8 (8/7).
25/3 (8/7)
numerator: 25*8= 200
denominator: 3*7= 21
200/21 or 9 11/21
A corporate team-building event costs $1, plus an additional $1 per attendee. Write an equation that shows the relationship between the attendees x and the cost y.Write your answer as an equation with y first, followed by an equals sign.
The total cost y of a corporate team-building event can be expressed by the equation y = 1 + 1x, where x represents the number of attendees. This equation includes both the fixed and variable costs.
To determine the cost y of a corporate team-building event based on the number of attendees x, we need to include both the initial fixed cost and the variable cost per attendee.
The fixed cost of the event is $1, and the variable cost per attendee is also $1. The total cost can be expressed using the following equation:
y = 1 + 1x
Here:
y represents the total cost of the event.x represents the number of attendees.The term '1' before the plus sign is the initial fixed cost, and '1x' is the variable cost for the attendees.For example, if there are 5 attendees, the total cost would be calculated as:
y = 1 + 1(5) = 1 + 5 = 6 dollars
Divide 13 by v. Then, subtract 7.
Which of the following expressions matches the statement above?
A. 13 ÷ (v - 7)
B. 13 ÷ (7 - v)
C. 13 ÷ v - 7
D. v ÷ 13 - 7
Helen uses 0.12
kilogram of nuts in each batch of granola
that she makes. If she makes 2.5 batches,
how many kilograms of nuts will she use?
Helen uses 0.3 kg of nuts for 2.5 kg of granola.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number.
Given that, Helen uses 0.12 kilogram of nuts in each batch of granola
that she makes, and she makes 2.5 batches,
For 1 batch she uses .12 kg of nuts, so for 2.5 kg she will use = 2.5*0.12 = 0.3 kg
Hence, Helen uses 0.3 kg of nuts for 2.5 kg of granola.
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What is the following following product 4 square 7 • 4 square root 7• 4 square root 7 •4 square root 7
Answer:
The value of product is 7.
Step-by-step explanation:
Since we have given that
4 square 7x4 square root 7x4 square root 7x4 square root 7
We need to find the product of the following terms:
We will apply the "law of exponents":
i.e.
(a^m)^n=a^{mn}
4 square 7x4 square root 7x4 square root 7x4 square root 7
=7 ^(1/4)4=7
Hence, the value of product is 7.
The value of product is 7.
What is product?The term "product" refers to the result of one or more multiplications. For example, the mathematical statement would be read " times equals ," where is called the multiplier, the multiplicand and is their product.
Given is an expression, 4 square 7 • 4 square root 7• 4 square root 7 •4 square root 7
Converting into mathematical notation,
= [tex]\sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} . \sqrt[4]{7} .[/tex]
We need to find the product of the following terms:
We will apply the "law of exponents":
(xᵃ)ᵇ = xᵃᵇ
[tex](\sqrt[4]{7})^4\\\\= (7^\frac{1}{4})^4\\\\= 7[/tex]
Hence, the value of product is 7.
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Find midpoint of xy
X(7,-5) and y (9,-1)
Answer:
(8,-3)
Step-by-step explanation:
(x1+x2/2), (y1+y2/2)
7+9/2=16/2=8 x=8
-5-1/2=-6/2=-3 y=-3
Answer:
(8, -3)Step-by-step explanation:
The formula of a midpoint of AB
[tex]A(x_A,\ y_A),\ B(x_B,\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have the points X(7, -5) and Y(9, -1).
Substitute:
[tex]M_{XY}\left(\dfrac{7+9}{2};\ \dfrac{-5+(-1)}{2}\right)\\\\M_{XY}\left(\dfrac{16}{2};\ \dfrac{-6}{2}\right)\\\\M_{XY}(8,\ -3)[/tex]
x² + 4x + 3
How is this solved step by step it needs to be in factored form
Answer:
[tex]\large\boxed{x^2+4x+3=(x+3)(x+1)}[/tex]
Step-by-step explanation:
[tex]x^2+4x+3\\\\\text{We are looking for a and b, for which a + b = 4 and (a)(b) = 3}\\\\\text{a=3,\ b=1}\\\\=x^2+3x+1x+3\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\=x\underbrace{(x+3)}_{(*)}+1\underbrace{(x+3)}_{(*)}\qquad\text{use the distributive property}\\\\=\underbrace{(x+3)}_{(*)}(x+1)[/tex]
8. Find the value of k, if (1-1) is a solution of the equation 3x-ky =8. Also, find the coordinates of
another point lying on its graph.
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)