Use substitution to solve the linear system of equations.

Question

{5x-y=15
{-10x+2y=-30

Answer 1

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.