Question

Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6

Answer 1

x = -3, y = 1 → (-3, 1)

Explanation:

`\underline{+\left\{\begin{array}{ccc}2x-3y=-9\\-x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad x=-3\\\\\text{put the value of x to the second equation:}\\\\-(-3)+3y=6\\3+3y=6\qquad\text{subtract 3 from both sides}\\3y=3\qquad\text{divide both sides by 3}\\y=1`