Question

How many solution does this system have ,y=3x-1,6x-2y=-2

Answer 1

infinite solutions

Explanation:

y=3x-1

6x-2y=-2 ==> solve for y

6x-2y+2y=-2+2y ==> remove -y in equation

6x=-2+2y

6x-2=2y

2y=6x-2

(y=3x-1)*2 ==> multiply the equation by 2 so the equation equals 2y

2y=6x-2

Since (y=3x-1) = (2y=6x-2) and (6x-2y=-2) = (2y=6x-2),

(y=3x-1) = (6x-2y=-2) ==> hence, there are infinite solutions