Question

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

Answer 1

Answer:

• x=-1

,

• y=-3

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:

$\begin{gathered} \frac{6y}{6}=-\frac{18}{6} \\ y=-3 \end{gathered}$

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

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

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