Answer :
Answer:
(7, -28)
Explanation:
Given the system of equations:
[tex]\begin{gathered} y=x-35 \\ y=-4x \end{gathered}[/tex]Substitute the second equation into the first:
[tex]\begin{gathered} y=x-35 \\ -4x=x-35 \\ -4x-x=-35 \\ -5x=-35 \\ \text{Divide both sides by -5} \\ \frac{-5x}{-5}=\frac{-35}{-5} \\ x=7 \end{gathered}[/tex]Next, solve for y:
[tex]\begin{gathered} y=-4x \\ =-4(7) \\ y=-28 \end{gathered}[/tex]The solution to the system of equations is:
[tex](7,-28)[/tex]