This is known as a system of equations. For this system, we are going to use substitution, since you already know what y is equal to.
As you can see, y=-1/2x-5. Since we have y directly set equal to something, we can substitute it in for y anywhere we want. In this case we will substitute it in for y in your first equation. x-2y=2 => x-2(-1/2x-5)=2
Through algebraic equation steps, we can simplify the equation to be x+x-10=2, and solve the equation for x=6.
Now that we have the x value, we can substitute it in to the y equation.
y=-1/2(6)-5
When simplified, you get y=-3-5, or y=-8. And remember, if you'd like to check your answer, simply plug your numbers back in for the variables.
y=-1/2x-5 => (-8)=-1/2(6)-5, and when simplified, -8=-8.
