What is the solution for the system of equations?
Use the substitution method to solve.
y=5−3x
5x−4y= −3
Enter your answer in the boxes.
Answers
Once you have an equation in one of these formats, you take the equation and input it into the value of its correspondent of the other equation.
In this case you have y= 5-3x and 5x-4y=-3.
You should have 5x-4(5-3x)=-3.
Note how the first equation is substituted for the y value of the second equation.
Next solve. First distribute, 5x-20+12x=-3. Combine like terms. 17x-20=-3. Separate the variable and constants by adding 20 to both sides.
17x-20+20=-3+20 -> 17x=17. Divide both sides by 17 to get x = 1.
Now we need to find y. Go back to the first equation and input your x value into it and solve. y=5-3(1) -> y=5-3 -> y = 2
You can check your answer by inputting both values into the second equation and solving. 5(1)-4(2)=-3 -> 5-8=-3 -> -3=-3
The answer is (1,2)
Related Questions
how do you solve each absolute value by graphing
Answers
I like to subtract one side of the equation from the other, so the solutions are where the graph crosses the x-axis (the resulting function value is zero).
It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.
What is the value of x in this number sentence?
32 = 17 + x
Answers
32 - 17 = x
15 = x
To find our answer, the value of x, we only have to substract 17 from both sides. This gives us the following
15 = x
x = 15
So the value of x in this number sentence is 15
Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?
Answers
hope it helps
Answer:
Coefficient of n² is 3.
Step-by-step explanation:
Given : 4n³ + 3n² + 2n + 1.
To find : What is the coefficient of n².
Solution : We have given 4n³ + 3n² + 2n + 1.
Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Example : 4 in 4x² .
In 4n³ + 3n² + 2n + 1.
Coefficient of n² is 3.
Therefore, Coefficient of n² is 3.
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
Answers
Final answer:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.
Explanation:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 weeks?
Answers
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:
[tex]y = 1.5x [/tex]
Then, for 5 weeks we have:
[tex]y = 1.5 (5) y = 7.5 pounds[/tex]
Answer:
A model that best represents the number of pounds of cereal she eats is:
[tex]y = 1.5x [/tex]
For 5 weeks we have:
[tex]y = 7.5 pounds[/tex]
mathew is 2 yards tall how many inches tall is he.
Answers
please mark as brainliest
The answer is : 72 inches
Reason: a yard is 3 ft and a foot is 12 in so ,
1 yard is 36 in and 2 yards is 72 in
Hopes this Helps u :D
What is the b in 8b=5.6
Answers
Explanation: Since we are doing multiplication (8 * b) we would now do the inverse operation which is dividing. First, it's 5.6 divided by itself so we can cross that out, then 8 divided by 5.6 = .7
If we put 8 * .7 in a calculator, sure enough, it comes out as 5.6
8n+3n-n+3n+5n I need help with this
Answers
This problem is simply about combining like terms. Like terms in this scenario is anything with a similar or different coefficient and the same variable. Here, we see that everything is a like term, because they all have n as their variable.
When we have this situation, we can simply add or subtract the number like normal, and keep that n there. We have:
8n + 3n - n + 3n + 5n =
11n - n + 3n + 5n
Let's think about how to subtract that n. When we have 11n, we have n + n + n... 11 times. That's why multiplication is repeated additon. If we subtract one n, we take one n out to get 10n. We have:
10n + 3n + 5n = 13n + 5n =
18n
Hope this helps!
Jessie set up a lemonade stand for three days. On Saturday she sold 10 and 2/3 gallons of lemonade. On Sunday she sold 3 and 1/3 gallons mor3 than she sold on Saturday. On Monday she sold 2 and 2/3 gallons less than she sold on Sunday. How many gallons of lemonade did jessie sell on Monday
Answers
Jessie set up a lemonade stand for three days.
On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons
On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday
Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons
= 32/3 + 10/3 = 42/3 gallons = 14 gallons
On Monday she sold 2 and 2/3 gallons less than she sold on Sunday
Lemonade sold on Monday = 14 - 2 and 2/3 gallons
= 42/3 - 8/3 = 34/3 gallons
Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday
What is the y intercept of y = 6x + 32?
Question 4 options:
6
6x
32
0
Answers
This gives us the following:
y = 6 * 0 + 32 = 0 + 32 = 32
So, the y-intercept is 32.
The y-intercept of y = 6x + 32 is 32.
Explanation:The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.
Learn more about y-intercept here:https://brainly.com/question/14180189
#SPJ2
Write a story problem to represent 5 divided by 1/4
Answers
Hope this helps!
The problem can be seen below, we will see that the quotient between the given numbers is 20.
How to write the problem?Here we want to divide 5 by 1/4.
An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).
How many pieces can you buy?
To solve this, we need to take the quotient between 5 and (1/4), this gives:
[tex]\frac{5}{1/4} = 20[/tex]
You can buy 20 pieces.
If you want to learn more about divisions:
https://brainly.com/question/8952483
#SPJ2
The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose you started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.
Answers
Answer:
It would take 9 minutes for 25 grams of the substance to remain.
Step-by-step explanation:
Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.
The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.
1st stage, it would degenerate to half of its original size;
= [tex]\frac{200}{2}[/tex]
= 100 grams
This occurs in 3 minutes.
2nd stage, it would degenerate to half of its previous size;
= [tex]\frac{100}{2}[/tex]
= 50 grams
This also occurs in 3 minutes.
3rd stage, it would degenerate to half of it previous size;
= [tex]\frac{50}{2}[/tex]
= 25 grams
This also occurs in 3 minutes.
We stop here due to the restriction in the question for 25 grams.
So, the total time taken for the substance to reach a mass of 25 grams
= 3 + 3 + 3
= 9 minutes
It would take 9 minutes for 25 grams of the substance to remain.
Which expression is equivalent to i^233
Answers
divide 233 by 4 to find the remainer: 233÷4=58, remainder is 1
so the result is i
i^233=(i^4)^58×i=1^58×i=i
Answer: the answer is i
Step-by-step explanation:
i don’t know how to do this. can someone please help me :)
Answers
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2
The 3rd selection is appropriate.
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?
Answers
Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C
And
C + 3.5C = Total Cost
C + 3.5C = 9
4.5C = 9 divide both sides by 4.5
C = 9/4.5 = $2.00 for the soft drink
And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich
If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.
Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.
Total cost = $9
x+3.5x=9
4.5x=9
x=9/4.5
x= $2.00
The price of the sandwich obtained as,
=3.5x
=3.5× $2.00
=$7
Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.
Learn more about the arithmetic operations here,
https://brainly.com/question/25834626
#SPJ5
He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?
Answers
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m
Answer: Base=16m
A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answers
Answer:
[tex]Volume=24\frac{3}{4}m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula;
[tex]Volume=l \times w\times h[/tex]
where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.
We substitute all these values into the formula to obtain
[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]
Convert to improper fractions to get;
[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]
[tex]Volume=\frac{99}{4}[/tex]
[tex]Volume=24\frac{3}{4}m^3[/tex]
Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's
Answers
The cost of a television is $429.99 after sales tax is added. If the sales tax is 7.5%, what was the cost of the television before sales tax was added? (A) $377.74 (B) $389.46 (C) $397.74 (D) $399.99 (E) $459.27
Answers
The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.
The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.
To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).
what is the solution to this equation x-16=-8
Answers
Add 16 on both sides
x=-8+16
And solve; your answer will be
x=8
The solution to the equation x - 16 = -8 is x = 8.
We have,
To solve the equation x - 16 = -8, we want to isolate the variable x on one side of the equation.
First, let's add 16 to both sides of the equation:
x - 16 + 16 = -8 + 16
This simplifies to:
x = 8
Therefore,
The solution to the equation x - 16 = -8 is x = 8.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
Answers
Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone
Answers
To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compare.
Group A
Person 1: $500
Person 2: $600
Person 3: $900
Person 4: $450
The average amount spent by members of cycle group A was $
Group B
Person 1: $700
Person 2: $500
Person 3: $680
Person 4: $500
The average amount spent by members of cycle group B was $
Answers
Your doctor told you to eat 25 grams of fiber each day.
You had 4 grams of fiber for breakfast.
What percent of the 25 grams of fiber have you eaten so far?
Answers
Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies and platies for his aquarium. He bought 3 guppies and 4 platies for a total of $18.33. Find the price of a guppy and the price of a platy.
Answers
The price of a guppy and the price of a platy are $3.19 and $2.19 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
Marta bought 3 guppies and 2 platies for a total of $13.95,
Hank bought 3 guppies and 4 platies for a total of $18.33,
Write the equation of the above statements as shown below,
3g + 2p = 13.95
3g + 4p = 18.33
Here, g is the price of guppies and p is the price of platies,
Solve the above equation by elimination as shown below,
3g + 2p - (3g + 4p) = 13.95 - 18.33 (Subtract equation from each other)
3g + 2p - 3g - 4p = -4.38
- 2p = -4.38
p = 4.38 / 2
p = $2.19 and,
3g = 18.33 - 4 × 2.19
3g = 9.57
g = 9.57 / 3
g = $3.19
To know more about equation:
https://brainly.com/question/12788590
#SPJ5
Write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequality symbol to use?
Answers
Anyone please help solving this maths problems not sure if I did it right. Thanks.
Answers
1/2 is equivalent to 4/8
6/8 is equivalent to 3/4
1/4 is equivalent to 2/8
1/3 is equivalent to 2/6
What is 6x – 8 = 4 written as a system?
A. y = 6x – 8
y = –4
B. y = 6x – 8
y = 4
C. y = –6x + 8
y = 4
Answers
y = 6x - 8
y = 4
which is the second option
Explanation:
The general form of a linear system is:
y = mx + c
The given equation is:
4 = 6x - 8
Comparing the given equation with the general form, we will find that:
The system is:
y = 6x - 8
y = 4
Hope this helps :)
6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given,
6x-8=4
For A) Given system
y = 6x – 8.....................1
y = –4.....................2
Substituting y=-4 in eq 1
-4=6x – 8
6x – 8=-4, which is not the same as the given equation.
For B) Given system
y = 6x – 8.....................3
y = 4.....................4
Substituting y=4 in eq 3
4=6x – 8
6x – 8=4, which is the same as the given equation.
For C) Given system
y = -6x +8.....................5
y = 4.....................6
Substituting y=4 in eq 5
4=-6x + 8
-6x +8=4, which is the same as the given equation.
Thus, 6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
Learn more about the equation, here:
https://brainly.com/question/29113090
#SPJ6
what is between 3/8 in a number line
Answers
There are 2 different equalities that I'm not sure which one you want.
so the first one would be
[tex]3 \leqslant x \leqslant 8[/tex]
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.
If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
[tex]3 < x < 8[/tex]
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.
If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
A rectangle has a perimeter of 48 feet and a length of 14 ft which equation can you solve to find the width
Answers
Answer: 2n + 28 = 48
Step-by-step explanation: Got it right on TTM