Question

determine the solution to the system. Explain which method you used to determine your solution. 2x+y=-15y-6x=7

Answer 1

$\begin{gathered} 2x+y=-1 \\ 5y-6x=7 \end{gathered}$

This is the system.

We will use the method of elimination to solve it.

So we will multiply the first equation by 3 and add it to the second one, this will gives us.

$8y=4\rightarrow y=\frac{1}{2}$$2x+\frac{1}{2}=-1\rightarrow2x=-\frac{3}{2}\rightarrow x=-\frac{3}{4}$