Question

the substitution method to solve the system 9x−3y=12 , y+6=2x .(1 point

Answer 1

First, isolate y in the second equation:

y + 6 = 2x
y = 2x - 6

Now substitute y = 2x - 6 into the first equation:

9x - 3(2x - 6) = 12
9x - 6x + 18 = 12
3x + 18 = 12
3x = -6
x = -2

Now substitute x = -2 back into the second equation to solve for y:

y = 2(-2) - 6
y = -4 - 6
y = -10

Therefore, the solution to the system is x = -2, y = -10.