Help on An algebra question?

Question

How do you find the value of x and y? 

3x=2y-2 , 5x=2y+2

 
I am not lazy, I just don't know how to do it. Please! And thank you :)

Answer 1

Elimination method

Given first equations are 3x = 2y-2

Subtract 2y from each side.

3x-2y = 2y-2y-2

3x-2y = -2 ---> (1)

And the second equation 5x = 2y+2

Subtract 2y from each side.

5x-2y = 2y-2y-2

5x-2y = 2 ---> (2)

To eliminate the y value subtract (1) from (2).

5x-2y = 2

3x-2y = -2

(-) (+)   (+)

__________

2x = 4

Divide to each side by 2.

2x/2 = 4/2

x = 2

Substitute x value in (1).

6-2y = -2

Subtract 6 from each side.

-2y =  -8

Divide to each side by negitive 2.

-2y/-2 = -8/-2

y = 4

Solution x = 2, y = 4.