You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6
Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10
You then would calculate for x.
Your end result should be x = 2, which is the point that the two equations intersect
This works because the two equations are set equal to each other, making them share a common value between them.
You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.
