2x + 3y = 2 and 5X - 5y = 10 solve for x and y

It is easy to see that, the second equation, after factorization, will look like:

5(x-y)=10

We'll divide it by 5 and we'll get:

x-y=2

The first equation looks like:2x + 3y = 2

We'll try to reduce the unknown y, by multiplying the equation x-y=2 by 3 and, after that, we'll add it to the equation 2x + 3y = 2.

3x-3y+2x+3y=6+2

After reducing the terms 3y and -3y, we'll get:

5x=8

x= 8/5 = 1.6

Now, we'll find out y by substituting x into the equation:

x-y=2

1.6 - y = 2

We'll subtract 1.6 both sides:

-y = 2 - 1.6

-y = 0.4

We'll multiply both sides by (-1).

y=-0.4