Question

X + 3y = −1 2x + 2y = 6

Answer 1

$\left\{\begin{array}{ccc}x+3y=-1\\2x+2y=6&|divide\ both\ sides\ by\ (-2)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x+3y=-1\\-x-y=-3\end{array}\right}\\.\ \ \ \ \ \ \ \ \ 2y=-4\ \ \ \ |divide\ both\ sides\ by\ 2\\.\ \ \ \ \ \ \ \ \ \fbox{y=-2}\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ x+3y=-1\\\\x+3\cdot(-2)=-1\\x-6=-1\ \ \ \ |add\ 6\ to\ both\ sides\\\fbox{x=5}\\\\Answer:\boxed{x=5\ and\ y=-2}$