Question

Solve by elimination -2x+4y= -102x+2y= -8

Answer 1

• x=-1

,

• y=-3

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} -2x+4y=-10 \\ 2x+2y=-8​ \end{gathered}`

Add the two equations to eliminate x:

`\begin{gathered} 4y+2y=-10+(-8) \\ 6y=-18 \end{gathered}`

Divide both sides by 6:

`\begin{gathered} (6y)/(6)=-(18)/(6) \\ y=-3 \end{gathered}`

Next, substitute y=-3 into any of the equations to solve for x:

`\begin{gathered} 2x+2y=-8​ \\ 2x+2(-3)=-8​ \\ 2x-6=-8​ \\ 2x=-8​+6 \\ 2x=-2 \\ x=-(2)/(2) \\ x=-1 \end{gathered}`

The solution to the system of equation is: x=-1 and y=-3