using substitution and elimination method solve this simultaneous equation
Y=x+1
X+Y=3

Answers

Answer 1

Answer:

x = 1 and

Y = 2

Step-by-step explanation:

1. Y = x + 1

2. X + Y = 3

Substitute equation 1 into equation 2

X + Y = 3

X + X + 1 = 3

2x + 1 = 3

Subtract 1 from both sides to eliminate 1 on the left side

2x + 1 - 1 = 3 - 1

2x = 2

Divide both sides by 2 to isolate x

2x/2 = 2/2

x = 1

Substitute 1 for x in either equation to get Y

Using equation one, we have

Y = x + 1

= 1 + 1

= 2

x = 1

Y = 2

Check

X + Y = 3

1 + 2 = 3

3 = 3


Related Questions

300 mi /20 sec = ? Mi /1 min

Answers

Answer:

900

Step-by-step explanation:

To get your answer, you can just multiply 20 seconds by 3 to get 60 seconds, which is a minute.

Since whatever you do on one side you have to do to the other, multiply 300 mi by 3 as well. That would get you 900.


Pam has 7 red marbles, 16 green marbles, 6 yellow marbles, 4 orange marbles, 19 black marbles, and 12 blue marbles in a bag.

What is the range in the number of different colored marbles?
A) 13
B) 15
C) 16
D) 19

Answers

The answer is: 15 (B)
Range is the difference (-) between the least and greatest number
19 marbles - 4 marbles = 15 marbles (range)

Answer:

b 15

Step-by-step explanation:

The range is the difference between the largest and smallest number.

range = biggest − smallest = 19 − 4 = 15

Combining Like Terms to Solve Equations

-7y+2=16
show how you got the answer

Answers

Answer:

y=-2

Step-by-step explanation:

-7y+2=16

     -2  -2  

-7y=14

_____    <dividing line

-7    -7

y=-2

Someone help me with the diagram below!!

Answers

The answer to your question is E

does a vertical stretch make a graph narrower or wider?

Answers

Answer:

narrower

Step-by-step explanation:

In one year, Angelica's height went from 52 inches to 56 inches what was the percent of increase in Angelica's height

Answers

Answer: 7.7%

Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.

To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.

I just rounded it to the nearest tenth, you can change it how you need to.

Final answer:

The percent of increase in Angelica's height over one year, from 52 inches to 56 inches, is approximately 7.69%.

Explanation:

The student is asking how to calculate the percent of increase in height over a one year period. We start by finding the initial and final measurements, then calculate the increase and convert it to a percentage.

Angelica's initial height is 52 inches, and her final height after one year is 56 inches. The increase in height is 56 inches - 52 inches, which equals 4 inches. To find the percent increase, use the formula:

Percent increase= (Increase / Original amount) x 100

So, the calculation is

Percent increase= (4 / 52) x 100 = 7.69%

Therefore, the percent increase in Angelica's height is approximately 7.69%.

If two lines have different slopes, they cannot have an infinite number of solutions.

A. Always
B. Sometimes
C. Never

Answers

Never due to if they have different slopes they can only have 1 solution.

4) Dan had 199 dollars to spend on 7 books. After
buying them he had 17 dollars. How much did each book cost?

Answers

Answer:

The answer is that each book costs 26 dollars

Step-by-step explanation:

First we subtract 199 dollar from 7 =182

Then we divide 182 dollars to the seven book in order to find a unit =182/7=26

To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.

The future perfect tense is__________.

will happen
is happening
will have happened
should happen

Answers

Will happen is the correct answer hope i help:)

Answer:

it's will have happened

Step-by-step explanation:

I got it right

Need help really bad

Answers

Answer:

10

Step-by-step explanation:

just add

Answer:

When xy are zero multiply by 1.33 and we will find y only if x =70

So the linear function will be

y =  90/0 = 0    =   y = x/0

y =   90/2 = 2    =   y = x/2

y =    90/4 = 4   =  y = x/4

y =    90/8 = 6   = y = x/8

x=90  y = 60 when both = 0

Or we can reverse and do x2+2 and call train f(x) and train = x = 90.

Step-by-step explanation:

70/90 = 0.77  =  70 x 1.33 = 90 as a fraction percentage 77%

60/45= 1.33  =  70 x 1.33 = 90 / 2 = 45   ( and as 22.5 as a fraction percentage 133/3%)

50/22.5=2.22  =  70 x 1.33 = 90/4 = 22.5 as a fraction percentage  222.2%

40/11.25=3.55 =  70 x 1.33 = 90 /8 = 11.25  as a fraction percentage= 355.5%


Write this number in words.

8,400.9

Answers

Answer:

eight thousand four hundred and nine tenths

Hope this helps!

It takes 0.25 hours to complete each test lession. Make a table showing how long 3, 7, 9, and 12 lessions take. Give the constant of proportionality and write an equation that relates the time (t) to the number of sessions (s).

Answers

Answer:

1            0.25

2            0.50

3            0.75

5            1.25

7            1.75

9            2.25

11            2.75

12           3.00

t=0.25s

What is the rate of change of the linear function? Thanks! :)

Answers

Answer:

-3/4 or -0.75

Step-by-step explanation:

You go down 6, over 8.

6/8=3/4

It's a negative slope, so the rate of change is -3/4 or -0.75.

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.

A circle is shown. The circle is cut into 8 equal pieces. Pieces of the circle with radius r are rearranged to create a shape that resembles a parallelogram.

Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?

A = (2πr)(r)
A = (2πr)(2r)
A =One-half(2πr)(r)
A =One-half(2πr)(r2)

Answers

Answer:

A =One-half(2πr)(r)

Step-by-step explanation:

i got it right!

The approximate representation of the area of a parallelogram like figure is as follows:

A = 1 / 2 (2πr) (r)

The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.

Properties of a parallelogramOpposite sides are equal and parallelopposite angles are equaldiagonal bisect each other

Circumference of a circle is the perimeter of the circle.

circumference = 2πr

Area of parallelogram = bh

Where

b = base

h = height

Therefore,

A = 1 / 2 (2πr) (r)

learn more on area here: https://brainly.com/question/843063

Two numbers have a product of 6800 and a difference of 5 what are the two numbers

Answers

Answer:

80 and 85

Step-by-step explanation:

Let a and b be those numbers

a*b = 6800

a - b = 5

Use the substitution method.

a = 5 + b

(5 + b)*b = 6800

5b + b*b = 6800

bb + 5b - 6800 = 0

b = -5/2  +   root(25 - 4*1*(-6800)) /2

b = -5/2 +  165/2

b = 80

or   b = - 85

a - b = 5

a - 80 = 5

a = 85

which of the following values is between 7 and 8

Answers

Answer

7.5 is between 7 and 8
the exact middle would be 7.5 because 7+8/2= 7.5

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Answers

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

[tex]D^{2} = L^{2} + L^{2}[/tex]

Solving further, we have

[tex]D^{2} = 2L^{2}[/tex]

Divide both sides by 2

[tex]\frac{D^{2}}{2} = \frac{2L^{2}}{2}[/tex]

[tex]\frac{D^{2}}{2} = L^2[/tex]

Take Square root of both sides

[tex]\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}[/tex]

[tex]\sqrt{\frac{D^{2}}{2}} = L[/tex]

Reorder

[tex]L = \sqrt{\frac{D^{2}}{2}}[/tex]

Now, the value of L can be calculated by substituting 12.73 for D

[tex]L = \sqrt{\frac{12.73^{2}}{2}}[/tex]

[tex]L = \sqrt{\frac{162.0529}{2}}[/tex]

[tex]L = \sqrt{{81.02645}[/tex]

[tex]L = 9.001469325[/tex]

[tex]L = 9.0015[/tex] (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

Find the circumference of the circle. Round your answer to the nearest hundredth.

Answers

Answer:

25.13

Step-by-step explanation:

C=2πr

C=2 x 3.14 x 4

C= 25.13


The probability distribution below is
A bar graph has X on the x-axis, from 1 to 6, and P x (x) on the y-axis, from 0 to 0.4 in increments of 0.05. The probability of 1 through 6 is: 0.02, 0.04, 0.15, 0.18, 0.25, 0.36.

Answers

Answer: Negatively Skewed

first option

Step-by-step explanation:

just did it on edge

Answer:

A

Step-by-step explanation:

Given that 7^2=12^x, evaluate 12^2x
please help

Answers

Answer:

2401

Step-by-step explanation:

What is the value of x? PLEASE HELP ASAP!

Answers

Answer:

A. 28

Step-by-step explanation:

95+57=152

180-152=28  (180 is sum of triangle, in order to find the angle measurement u have to subtract).

what 40,100,000 written in scientific notation?

Answers

Answer: 4.01 x 107

Step-by-step explanation:

Answer:

4.01x10^7=40100000

Sandy spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 13 dollars ?

Answers

Answer:

I hope this helps (๑¯◡¯๑)

To find Sandy's allowance, we use the given information to set up an equation. After solving it, we determine that Sandy's weekly allowance is $10.

To determine Sandy's weekly allowance, we need to work backward from the information given. We know that she ended with $13 after spending half of her allowance on movies and earning an additional $8 from washing the car. Let's let the variable A represent Sandy's allowance. According to the problem, Sandy spent A/2 on movies, and when she added the $8 she earned, she had $13.

We can set up the equation as follows:

(A/2) + 8 = 13

Now, we solve for A to find the allowance:

A/2 = 13 - 8A/2 = 5A = 5 * 2A = $10

So, Sandy's weekly allowance is $10.

Select the correct answer. What are the intercepts of y = 4x − 2?

Answers

x-intercept(s):  (1/2, 0) or (0.5, 0)

y-intercept(s):  (0,  −2)

DISCLAIMER: If you do not know the answer to this problem and answer just for the points, this is unappreciated, and I most likely will report you.

The circle graph shows the number of gallons of ice cream ordered for the concert in the park. What percentage of the ice cream ordered was strawberry?

A.) 33 1/3%

B.) 9%

C.) 30%

D.) 40%

PLEASE ANSWER I WILL GIVE BRAINLIEST!!! THIS IS K12 / KEYSTONE QUESTION!

Answers

Answer:

30%

Step-by-step explanation:

It has to be less than 33 (1/3 of the pie chart), but not too much, concluding it is 30%, or c

:3 1st

Answer:

C (30%)

Step-by-step explanation:

There are 30 total gallons of ice cream, and 9 strawberry. That's 9/30, which simplifies to 3/10, and then 30%

Hope this helps!!

brainliest?

A right rectangular prism has a height of 6.5 cm, a width of 8 cm, and a length of 12. 1 cm.
What is the volume of the prism? Enter the answer in the box.

Answers

Answer:  la respuesta es 314,6 cm

Step-by-step explanation:

V = 1/2 x longitud x anchura x altu

 v = 1/2 x 12,1 cm x 8 cm x 6,5 cm

= 0,5  x 12,1 cm x 8 cm x 6,5 cm

= 314,6 cm            

Answer:

[tex]≈

629.2 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈

629.2 {cm}^{3}

[/tex]

You and TWO of your closest friends went to a restaurant for dinner. The bill came to $25.60. You want to split the bill EQUALLY and leave a 20% tip. How much does each person owe? (Show Work.)

A: $5.12
B: $8.53
C: $10.24

Answers

Answer:

C

Step-by-step explanation:

Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.

You add 5.12 and 25.60 because it was a tip, they gave that much more.  

So 20% which is 5.12.  

25.60 + 5.12 = 30.72

since there were 3 people in total you just divide

30.72 / 3

= 10.24

How do you solve for mass if KE=0.5mv^2

Answers

Answer:

Step-by-step explanation:

We want to isolate m in the formula KE=0.5mv^2.  To do this, divide both sides by 0.5v^2:

               KE

m = ----------------------

                 v^2

Find area of a circle that has a diameter of 8 m

Answers

Diameter \ 2 = radius
8/2 = 4
4^2 = 16
16*pi is about 50.27
Your area is 50.27m^2

Answer:

50.24 m^2

Step-by-step explanation:

Area of a circle = Pi r^2

Pi = 3.14

Diameter = 8 m

Radius r = diameter/2 = 8/2

= 4

Therefore

Area = 3.14 x 4^2

= 3.14 x 4 x 4

= 50.24 m^2

Find the value of the coefficient a in the equation ax+2y=8, if the solution to the equation is the pair x=2 and y=1.

Answers

Answer:

a = 3

Step-by-step explanation:

Simply substitute 2 for x and y for 1 and solve.

This will get you 2a + 2 = 8

Then simplifying, 2a = 6.

a = 3.

The value of a and the coefficient of x is 3.

What is substitution?

Substitution means putting numbers in place of letters to calculate the value of an expression .

According to the given question.

We have a equation.

ax + 2y = 8.

Also, the solution to the equation is (2, 1).

So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.

⇒ [tex]a(2) + 2(1) = 8[/tex]

⇒ [tex]2a + 2 = 8[/tex]

⇒ [tex]2a = 8-2[/tex]   ( subtracting 2 from both the sides)

⇒ [tex]2a = 6[/tex]

⇒ [tex]a = \frac{6}{2}[/tex]    (dividing both the sides by 2)

⇒ [tex]a = 3[/tex]

Hence, the value of a and the coefficient of x is 3.

Find out more information about substitution here:

https://brainly.com/question/10852714

#SPJ2

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