Respuesta :

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]

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