Question

Solve by substitution:y=x-35y=-4x

Answer 1

(7, -28)

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} y=x-35 \\ y=-4x \end{gathered}`

Substitute the second equation into the first:

`\begin{gathered} y=x-35 \\ -4x=x-35 \\ -4x-x=-35 \\ -5x=-35 \\ \text{Divide both sides by -5} \\ (-5x)/(-5)=(-35)/(-5) \\ x=7 \end{gathered}`

Next, solve for y:

`\begin{gathered} y=-4x \\ =-4(7) \\ y=-28 \end{gathered}`

The solution to the system of equations is:

`(7,-28)`