Question

Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6​

Answer 1

Answer:

x = -2  y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

To find x:

If you do (3x - 2y = 10) - (5x + 2y = 6​), you will get -2x=4. Divide both sides by -2, and get x = -2.

If you do (5x + 2y = 6​) - (3x - 2y = 10), you will get 2x=-4.Divide both sides by 2, and get x = -2.

To find y:

Substitute -2 for x in either equation. It doesn't matter.

For 3(-2) - 2y = 10:

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

For 5x + 2y = 6​:

5(-2) + 2y = 6​ ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8