Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question solve the system by substitution. $y = -7x - 30$ $y = 8x$

Question

question
solve the system by substitution.
$y = -7x - 30$
$y = 8x$

Explanation:

Step1: Substitute $y=8x$ into first equation

$8x = -7x - 30$

Step2: Isolate $x$ terms

$8x + 7x = -30$
$15x = -30$

Step3: Solve for $x$

$x = \frac{-30}{15} = -2$

Step4: Solve for $y$ using $y=8x$

$y = 8\times(-2) = -16$

Answer:

$x=-2$, $y=-16$