Question

Solve the system by substitution.-3x—6y=45 -5y=x

Answer 1

The second equation already has the value of x isolated, so in order to solve the system by substitution, we can apply this value of x from the second equation in the first one:

`\begin{gathered} x=-5y \\ \\ -3x-6y=45 \\ -3\cdot(-5y)-6y=45 \\ 15y-6y=45 \\ 9y=45 \\ y=(45)/(9)=5 \end{gathered}`

Now that we have the value of y, we can find the value of x:

`x=-5y=-5(5)=-25`

So we have that x = -25 and y = 5.