Given:
[tex]\begin{gathered} y=-7x \\ y=4x+22 \end{gathered}[/tex]Put y=-7x in second equation,
[tex]\begin{gathered} y=4x+22 \\ -7x=4x+22 \\ -7x-4x=22 \\ -11x=22 \\ x=-\frac{22}{11} \\ x=-2 \end{gathered}[/tex]Put the value of x in first equation,
[tex]y=-7x=-7(-2)=14[/tex]Answer: x = -2, y = 14.