Question

4x+2y=0 3x-y=-10 solve the system

Answer 1

Divide the first equation by 2:

$\begin{cases}2x+y=0\\3x-y=-10\end{cases}$

Sum the two equations:

$5x = -10$

Divide both sides by 5:

$x=-2$

Substitute this value for x in one of the equation (for example the first) and solve for y:

$-8+2y = 0 \iff 2y=8 \iff y=4$