Anyone now how to do this..

1) x = 4; y = -2

Explanation:

1)

2x - y = 10;

x + y = 2

In order to do the elimination process, you must find two variables (either the x values or the y values) that are the exact opposites of each other. In this case, it isn't too hard since we have 1y and -1y, so now we eliminate them.

2x = 10;

x = 2

Now we add up both sides, so that it turns into 1 equation.

3x = 12;

Now we solve for one x

x = 4;

Now, we use this value and input it in both of the original equations to find and check for the other value, y.

2(4) - y = 10

8 - y = 10

-y/-1 = 2/-1

y = -2;

(4) + (-2) = 2

Does that help?