Given,
The pair of equation is:
[tex]\begin{gathered} -x+2y=-6 \\ 3x+4y=-32 \end{gathered}[/tex]
Required:
The graph of the solution of the pair of equation.
Taking the equation first as,
[tex]\begin{gathered} -x+2y=-6 \\ -x=-2y-6 \\ x=6+2y \end{gathered}[/tex]
Substituting the value of x in equation second.
[tex]\begin{gathered} 3x+4y=-32 \\ 3(6+2y)+4y=-32 \\ 18+6y+4y=-32 \\ 18+10y=-32 \\ 10y=-32-18 \\ 10y=-50 \\ y=-5 \end{gathered}[/tex]
Substituting the value of y in above expression.
[tex]\begin{gathered} x=6+2y \\ x=6+2(-5) \\ x=-4 \end{gathered}[/tex]
The solution of the equation is (-4, -5).
The coordinates (-4,-5) is shown by graph B.
Hence, graph B represents the solution to the following system of equations
