Question

Question provided in picture, answer in the picture is incorrect

Answer 1

Given the system of equations:

`\begin{gathered} x+y=6\text{ (eq. 1)} \\ y=-3x\text{ (eq. 2)} \end{gathered}`

Substituting equation 2 into equation 1 and solving for x:

`\begin{gathered} x+(-3x)=6 \\ -2x=6 \\ (-2x)/(-2)=(6)/(-2) \\ x=-3 \end{gathered}`

Substituting x = -3 into equation 2:

`\begin{gathered} y=-3(-3) \\ y=9 \end{gathered}`

The solution is (-3, 9)