We will investigate how to determine a solution to a system of equations using substitution method.
We are given the following system:
[tex]\begin{gathered} -5x\text{ - 6y = }7 \\ x\text{ = -y } \end{gathered}[/tex]We will use the substitution method to determine the values of the variables ( x and y ).
We will plug in the second equation into first:
[tex]-5\cdot(-y)\text{ - 6y = 7}[/tex]Solve the single variable equation for variable ( y ):
[tex]\begin{gathered} 5y\text{ -6y = 7} \\ -y\text{ = 7} \\ y\text{ = -7 }\ldots\text{ Answer} \end{gathered}[/tex]Plug in the answer in equation 2:
[tex]x\text{ = 7}[/tex]The solutions are:
[tex]x\text{ = 7 , y = -7}[/tex]