Question

-2x-y=12y=-26-9xI need help with using elimination

Answer 1

Given the system of equations:

`\begin{cases}-2x-y=12 \\ y=-26-9x\end{cases}`

We can rewrite the second equation:

`\begin{cases}-2x-y=12 \\ 9x+y=-26\end{cases}`

Now, we can add these two equations, canceling the variable y:

`\begin{gathered} -2x-y+9x+y=12-26 \\ 7x=-14 \\ \Rightarrow x=-2 \end{gathered}`

Now, we can use this result to find the value of y. Using the second equation:

`\begin{gathered} 9\cdot(-2)+y=-26 \\ -18+y=-26 \\ y=-26+18 \\ \Rightarrow y=-8 \end{gathered}`

The solution is:

`\begin{gathered} x=-2 \\ y=-8 \end{gathered}`