Question

Solve the system using elimination. 2x + 3y = -7 -5x - 7y = 17

Answer 1

Given the system of equations:

`\begin{gathered} 2x+3y=-7 \\ -5x-7y=17 \end{gathered}`
`\begin{gathered} 2x+3y=-7 \\ -5x-7y=17 \\ 7(2x+3y=-7) \\ 3(-5x-7y=-17) \\ 14x+21y=-49 \\ -15x-21y=51 \\ -x=2=/ x=-2 \\ Use\text{ x to find y} \\ (2)(-2)=3y=-7 \\ 3y-4=-7 \\ 3y-4+4=-7+4 \\ -7+4=-3 \\ 3y=-3=/3=y=-1 \\ x=-2,y=-1 \end{gathered}`

x = -2 & y = -1