Question

Solving systems by substituting Y= -3x+52x+y=6

Answer 1

x=-1, y=9.

Step-by-step explanation:

Given the system of equations

`\begin{gathered} y=-3x+5 \\ 2x+y=6 \end{gathered}`

Substitute y=-3x+5 into 2x+y=6.

`\begin{gathered} 2x+y=6 \\ 2x+(-3x+5)=6 \\ 2x-3x+5=6 \\ -x=6-5 \\ -x=1 \\ x=-1 \end{gathered}`

Next, we solve for y.

`\begin{gathered} y=-3x+5 \\ =-3(-1)+5 \\ =4+5 \\ y=9 \end{gathered}`

The solution to the system of equations are:

x=-1 and y=9.