Question

Solve the system by substitution. -5 -6y7 Submit Answer

Answer 1

We will investigate how to determine a solution to a system of equations using substitution method.

We are given the following system:

`\begin{gathered} -5x\text{ - 6y = }7 \\ x\text{ = -y } \end{gathered}`

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:

`-5\cdot(-y)\text{ - 6y = 7}`

Solve the single variable equation for variable ( y ):

`\begin{gathered} 5y\text{ -6y = 7} \\ -y\text{ = 7} \\ y\text{ = -7 }\ldots\text{ Answer} \end{gathered}`

Plug in the answer in equation 2:

`x\text{ = 7}`

The solutions are:

`x\text{ = 7 , y = -7}`