Question

self
tions:
$y = -3x - 5$
$y = 4x + 30$

Explanation:

Step1: Set equations equal

Since $y = -3x -5$ and $y = 4x + 30$, substitute to get:
$-3x - 5 = 4x + 30$

Step2: Isolate x terms

Subtract $4x$ from both sides:
$-3x - 4x - 5 = 30$
$-7x - 5 = 30$

Step3: Isolate x

Add 5 to both sides:
$-7x = 30 + 5$
$-7x = 35$

Step4: Solve for x

Divide by $-7$:
$x = \frac{35}{-7} = -5$

Step5: Solve for y

Substitute $x=-5$ into $y=-3x-5$:
$y = -3(-5) - 5 = 15 - 5 = 10$

Answer:

$x=-5$, $y=10$