Question

Solve the system of equations `2x-y=2`, `5x+y=5` by graphing?

Answer 1

The answer is: `x=1, y=0`

To solve by graphing, simply graph the lines. The intersection point will be the result. Because that point is on both lines so it satisfies both of the equations.

`1)` `2x-y=2`

`2)` `5x+y=5`

`1)`

graph{y=2x-2 [-10, 10, -5, 5]}

`2)`

graph{y=-5x+5 [-10, 10, -5, 5]}

The intersection point is `(1,0)` so the result is:

`x=1, y=0`