Question

−6y+11x=−36
−4y+7x=−24
​

Answer 1

`\left\{\begin{array}{ccc}-6y+11x=-36&|\text{multiply both sides by (-4)}\\-4y+7x=-24&|\text{multiply both sides by 6}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}24y-44x=144\\-24y+42x=-144\end{array}\right}\qquad\text{add both sides of equations}\\\\.\qquad-2x=0\qquad\text{divide both sides by (-2)}\\\\.\qquad \boxed{x=0}\\\\\text{Put the value of x to the first equation}\\\\-6y+11(0)=-36\\-6y=-36\qquad\text{divide both sides by (-6)}\\\boxed{y=6}\\\\Answer:\ \boxed{x=0,\ y=6\to(0,\ 6)}`