Question

question solve the system by substitution. y = 6x - 24 y = -2x

Explanation:

Step1: Substitute y in first equation

Since $y = - 2x$, substitute it into $y=6x - 24$. We get $-2x=6x - 24$.

Step2: Solve for x

Add $2x$ to both sides: $0 = 6x+2x - 24$, which simplifies to $0 = 8x - 24$. Then add 24 to both sides: $24 = 8x$. Divide both sides by 8, so $x = 3$.

Step3: Solve for y

Substitute $x = 3$ into $y=-2x$. Then $y=-2\times3=-6$.

Answer:

$x = 3,y=-6$