Question

solve the following system of equations.
$9x + 6y = -3$
$5x + 6y = 9$
$x = $
$y = $

Explanation:

Step1: Subtract equations to eliminate $y$

$(9x+6y)-(5x+6y)=-3-9$
Simplify: $4x=-12$

Step2: Solve for $x$

$x=\frac{-12}{4}=-3$

Step3: Substitute $x=-3$ into second equation

$5(-3)+6y=9$
Simplify: $-15+6y=9$

Step4: Solve for $y$

$6y=9+15=24$
$y=\frac{24}{6}=4$

Answer:

$x=-3$, $y=4$