Equation 1) x - 5y = 5
Equation 2) 2x - y = 10
Multiply all of equation 1 by 2.
1) 2(x - 5y = 5)
1) 2x - 10y = 10
2) 2x - y = 10
Subtract equations.
-9y = 0
y = 0
Plug in 0 for y in the first equation.
x - 5y = 5
x - 5(0) = 5
x - 0 = 5
x = 5
(5, 0)
~Hope I helped!~