Answer
$(1,0)$
Work Step by Step
For the first equation $y=2x-2$, the $x$ and $y$ intercepts are found as $(1,0)$ and $(0,-2)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Similarly, for the second equation $y=-5x+5$, the $x$ and $y$ intercepts are found as $(1,0)$ and $(0,5)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Now, graph each equation as a line passing through the intercepts. The lines intersect at point $(1,0)$ which represents the solution.
The graph is as below.