Question

Type your solution out or write it as an ordered pairx=2y+102x+3y=-1

Answer 1

(4, -3)

Step-by-step explanation:

Given the system of equations

`\begin{gathered} x=2y+10 \\ 2x+3y=-1 \end{gathered}`

First, we rearrange as follows:

`\begin{gathered} x-2y=10 \\ 2x+3y=-1 \end{gathered}`

Multiply the first equation by 2 to eliminate x.

`\begin{gathered} 2x-4y=20 \\ 2x+3y=-1 \\ \text{Subtract} \\ -7y=21 \\ y=(21)/(-7) \\ y=-3 \end{gathered}`

Recall:

`\begin{gathered} x-2y=10 \\ x-2(-3)=10 \\ x+6=10 \\ x=10-6 \\ x=4 \end{gathered}`

The solution as an ordered pair is: (x,y) = (4, -3)