Question

Find the solution to the following system using the elimination method . SEE ATTATCHED PHOTO .

Answer 1

System

`\begin{gathered} 5x-2y=-13 \\ 2x+y=11 \end{gathered}`

Using elimination

We will operate the equations in the following way

(1) + 2 (2)

`\begin{gathered} 5x-2y+2(2x+y)=-13+2\cdot11 \\ 5x-2y+4x+2y=-13+22 \\ 5x+4x-2y+2y=9 \\ 9x=9 \\ x=1 \end{gathered}`

Now for y, using (2)

`\begin{gathered} y=11-2x \\ y=11-2 \\ y=9 \end{gathered}`

The solution of the system would be x = 1 and y = 9