Question

Solve the system of equations.

Answer 1

$\left\{\begin{array}{ccc}2x-3y=16&|\cdot2\\3x+2y=11&|\cdot3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-6y=32\\9x+6y=33\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad13x=65\qquad|:13\\.\qquad x=5\\\\\text{put the value of x to the second equation}\\\\3(5)+2y=11\\15+2y=11\qquad|-15\\2y=-4\qquad|:2\\y=-2\\\\Answer:\ B)\ (5,\ -2).$