Answer:
x=-1, y=9.
Explanation:
Given the system of equations
[tex]\begin{gathered} y=-3x+5 \\ 2x+y=6 \end{gathered}[/tex]Substitute y=-3x+5 into 2x+y=6.
[tex]\begin{gathered} 2x+y=6 \\ 2x+(-3x+5)=6 \\ 2x-3x+5=6 \\ -x=6-5 \\ -x=1 \\ x=-1 \end{gathered}[/tex]Next, we solve for y.
[tex]\begin{gathered} y=-3x+5 \\ =-3(-1)+5 \\ =4+5 \\ y=9 \end{gathered}[/tex]The solution to the system of equations are:
x=-1 and y=9.
