Question

Solve the system by substitution. -4x – 6y = -48 y = –2x

Answer 1

x=-6, y=12

Step-by-step explanation:

Given the system of linear equations:

`\begin{gathered} -4x-6y=-48 \\ y=-2x \end{gathered}`

Substitute y =-2x into the first equation.

`\begin{gathered} -4x-6y=-48 \\ -4x-6(-2x)=-48 \end{gathered}`

Solve the equation for x.

`\begin{gathered} -4x+12x=-48 \\ 8x=-48 \\ x=-(48)/(8) \\ x=-6 \end{gathered}`

Next, we solve for y.

`\begin{gathered} y=-2x \\ =-2(-6) \\ y=12 \end{gathered}`

The solution to the equation is x=-6 and y=12.