Use the substitution method to solve the system 9x−3y=12 , y+6=2x .(1 point)
To solve the system of equations using the substitution method, we solve one equation for one variable and then substitute it into the other equation.
In this case, let's solve the second equation for y:
y + 6 = 2x
y = 2x - 6
Now we can substitute this expression for y into the first equation:
9x - 3(2x - 6) = 12
9x - 6x + 18 = 12
3x + 18 = 12
3x = 12 - 18
3x = -6
x = -6/3
x = -2
Now substitute this value of x back into the second equation to solve for y:
y + 6 = 2(-2)
y + 6 = -4
y = -4 - 6
y = -10
The solution to the system of equations is x = -2 and y = -10.