Use substitution to solve the linear system of equations.
{5x-y=15
{-10x+2y=-30
From the first equation, we can isolate y as follows:
5x - y = 15
-y = -5x + 15
y = 5x - 15
Now we substitute this expression for y into the second equation:
-10x + 2y = -30
-10x + 2(5x - 15) = -30
-10x + 10x - 30 = -30
0 = 0
This equation is always true, which means that any value of x will satisfy both equations. Therefore, there are infinitely many solutions to this system of equations.