Solution
[tex]\begin{gathered} -4x+4y=-12 \\ y=-6x+18 \end{gathered}[/tex]
Using substitution method
substitute equation 2 into 1
[tex]\begin{gathered} -4x+4(-6x+18)=-12 \\ -4x-24x+72=-12 \\ -28x=-12-72 \\ -28x=-84 \\ divide\text{ both sides by -28} \\ x=3 \end{gathered}[/tex]
Now substitute x= 3 in equation 2
[tex]\begin{gathered} y=-6(3)+18 \\ y=0 \end{gathered}[/tex]
The final answer
[tex](3,0)[/tex]
