Question

Solve the system of equations using the substitution method. State your final answer as an ordered pair. DO NOT include spaces in your answer.

Answer 1

`\begin{gathered} -4x+4y=-12 \\ y=-6x+18 \end{gathered}`

Using substitution method

substitute equation 2 into 1

`\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}`

Now substitute x= 3 in equation 2

`\begin{gathered} y=-6(3)+18 \\ y=0 \end{gathered}`

The final answer

`(3,0)`