Question

How many solutions does the system of equations have x-2y=6 and 3x-6y=18

Answer 1

Solve for x in X-2 (x=8)
Substitute X=8 into 3x - 6y =18 (24-6y=18)
Solve for y in 24-6y=18 (y=1)
X=8 and y=1

Answer 2

2y=6
3x-6y=18
Divide first equation by 2: y=3
Substitute y=3 into second equation: 3x-6(3)=18
Solve for x: 3x=36 x=12

Therefore there is only one solution: x=12 y=3