Question

stem by substitution.
$y = -9x$
$-8x - 6y = 46$

Explanation:

Step1: Substitute $y=-9x$ into second equation

$ -8x - 6(-9x) = 46 $

Step2: Simplify left-hand side

$ -8x + 54x = 46 $
$ 46x = 46 $

Step3: Solve for $x$

$ x = \frac{46}{46} = 1 $

Step4: Find $y$ using $x=1$

$ y = -9(1) = -9 $

Answer:

$x=1$, $y=-9$