Question

{3x+2y=-5
{4x-3y= -18

Answer 1

`\left\{\begin{array}{ccc}3x+2y=-5&|\cdot3\\4x-3y=-18&|\cdot2\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}9x+6y=-15\\8x-6y=-36\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad17x=-51\qquad|:17\\.\qquad x=-3\\\\\text{put the value of x to the first equation}\\\\3(-3)+2y=-5\\-9+2y=-5\qquad\text{add 9 to both sides}\\2y=4\qquad\text{divide both sides by 2}\\y=2\\\\Answer:\ \boxed{x=-3\ and\ y=2}`