Answer
Elimination
Work Step by Step
Given: $3x+2y=9$
$-2x+3y=5$
Use elimination since we can make the coefficients of one variable be the same.
Multiply the first equation by $2$ and the second equation by $3$:
$6x+4y=18$
$-6x+9y=15$
__________________
$13y=33$
$y=\frac{33}{13}$
Solve for x: $6x+4(\frac{33}{13})=18$
$x=\frac{17}{13}$
