Solve the system of equations by elimination:
3x+y=5
2x-2y=-2

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Answers

Answer 1
First divide both sides of 2x-2y=-2 by 2 to get x-y=-1. Now, you can simply add the equations together and you’d get 4x=4. Divide both sides by 4 to get x = 1. Then, plug in the 1 to one of the original equation (I used 2x-2y=-2):
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2

So x = 1 and y = 2! :) hope this helps
Answer 2

Answer: (1, 2)

             x = 1  and y = 2

Step-by-step explanation:

3x + y = 5  Multiply this equation by 2   =>    6x + 2y = 10

2x -2y = -2                                               =>  + 2x - 2y = -2

                                                                       8x         = 8

                    **divide both sides by 8 =>         x  =  1

                   *** substitute 1 for x in either equation to get y

                                   

                     3(1) + y = 5

                    -3             -3

                             y = 2

                                                       


Related Questions

micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?

explanation is needed

Answers

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

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The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?

The distance from Jason's house to school is
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Answers

Answer:

900 meters

In 0.9 move the decimal two times to the right

That makes it 900 meters

3w-4z=8
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Answers

The w is 0 and z is -2.

Find the perimeter. Simplify your answer.

Answers

Answer:

4

Step-by-step explanation:

yeah-ya........ right?

The perimeter of the triangle is 2(12c - 7).

What is a triangle?

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.

What is the perimeter of the triangle?

Perimeter = 7c - 5 + 7c - 5 + 10c - 4

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Miko wants to build a toy
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80 cubic feet, find the length and width
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Answers

Answer:

kk

Step-by-step explanation:

The answer is 13 because 2 times 3 equals 6 and 80 divided by 6 equals 13

Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Answers

Answer:

y = - 4 x + 20

Step-by-step explanation:

The trail is 20 miles

Each hour you go 4 miles, so you subtract that each hour

A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.

Answers

Answer:

24 adults

Step-by-step explanation:

because it's just subtract 212-188=24

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Answers

Answer:

Step-by-step explanation:

it  is aas triangle

What is the perimeter, in meters (m), of ∆PRT?

Answers

The perimeter of a triangle is the sum of its dimensions

The perimeter of triangle PRT is 36 meters

Start by calculating the side length PT using the following equivalent ratios

[tex]\mathbf{QR : QS = PR :PT}[/tex]

So, we have:

[tex]\mathbf{3 : 8 = 6 :PT}[/tex]

Multiply 3 : 8 by 2

[tex]\mathbf{6 : 16 = 6 :PT}[/tex]

By comparing the ratios, we have:

[tex]\mathbf{PT = 16}[/tex]

So, the perimeter of triangle PRT is calculated using:

[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]

Substitute values for PR, RT and PT

[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]

Add up the figures

[tex]\mathbf{Perimeter = 36}[/tex]

Hence, the perimeter of triangle PRT is 36 meters

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If y + 6 = 45, then y = 39

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Answer:

True!

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?

Answers

Answer:

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Explanation:

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66/6 = 11

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Answer:

2

Step-by-step explanation:

(Picture provided)

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Answers

Answer:

100 degrees

Step-by-step explanation:

at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.

-9y + 8(4z + 3y) -6x


PLZ HELP

Answers

Answer:

15y + 32z - 6x

Step-by-step explanation:

-9y + 8(4z + 3y) -6x

=> -9y + 32z + 24y - 6x

=> 15y + 32z - 6x

Hoped this helped.

Answer: 32z+15y-6x

Step by step:

-9y+8(4z+3y)-6x

-9y+32z+24y-6x

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Answers

Answer:

4 lipsticks

Step-by-step explanation:

15+15=30, 30+30=60

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

You would multiply 25 x 6 and then add 70. So the answer is 220

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Answers

Solution:

[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]

Answer:

[tex] \frac{29}{35} [/tex]

Hope it helps.

Do comment if you have any query.

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Answers

Engineering

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Answers

Answer:

The slope of this line is y=3x-3

Step-by-step explanation:

(I'm not sure but is the line on the point(1,0)? or is it past that point?)

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Answers

Answer:D

Step-by-step explanation:

The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.

Answers

The 100th even natural number is 200

Given the sequence 2, 4, 6, 8, 10....

The nth term of the sequence is expressed as:

Tn  = a + (n - 1)d

a is the first term = 2

d is the common difference = 4 - 2 = 6 - 4 = 2

n is the number of terms

Substitute the given parameters into the formula

Tn = 2(n-1)2

Tn = 2+(2n - 2)

Tn = 2n

Get the 100th term

T10=  2(100) = 200

Hence the 100th even natural number is 200

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Answer:

1)

200

2)  

10100

3)

less than

Step-by-step explanation:

on god

Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph

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Answer:

Step-by-step explanation:

6. (4. 1) and (1, 4) are on the line

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Answer: This is used by

Step-by-step explanation:

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What is the length of DE?

A. 2.24
B. 2.66
C. 5
D. 1.73

Answers

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

what is slope intercept form of
slope= -2, y-intercept= -5
slope= -1/4, y-intercept= 1
slope = 2, y-intercept= 0

Answers

Step-by-step explanation:

the slope intercept form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, we have the equations

y = -2x -5

y = (-1/4)x + 1

y = 2x

Find the area of a circle with a circumference of
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Answers

[tex]A = \frac{ {C}^{2} }{4\pi} \\ [/tex]

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In the equation y=14x what is the constant of proportionality.

Answers

14

Step by step explanation:

The circumference of a circle is 20pi m. find its diameter,in meters

Answers

Answer:

20 m

Step-by-step explanation:

Circumference formula:

C = πd

Substitute and solve for d:

20π = πdd = 20π/πd = 20
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