solve by substitution

y=3x-1
-6x+2y=-2

1 answer

Substitute the first equation into the second equation to find x.

-6x + 2(3x - 1) = -2

Now, distribute 2 to eliminate the parentheses.
-6x + 6x - 2 = -2

-6x and 6x cancel out.

-2 = -2

Since the same number is equal to itself, this is a true statement. Therefore, there are infinitely many solutions to this system of equations.