Solve using the substitution method

(show work)

2x - y = 6

-3y = - 6x + 18

Infinite solutions

Step-by-step explanation:

2x - y = 6

-3y = - 6x + 18

Before substituting, let us simplify the 2nd equation.

-3y = - 6x + 18

-y = - 2x + 6

we now have

2x - y = 6

-y = - 2x + 6

so ... we have equivalent equations

Infinite solutions

Substitute y = 2x - 6

2x - (2x - 6) = 6

2x - 2x + 6 = 6

6 = 6

Infinite solutions