Question

solve the system of equations graphed on the coordinate axes below.
y = 2x + 8
y = -3x - 7

Explanation:

Step1: Set equations equal

Since $y = 2x + 8$ and $y = -3x - 7$, set $2x + 8 = -3x - 7$.

Step2: Solve for x

Add $3x$ to both sides: $5x + 8 = -7$. Subtract 8 from both sides: $5x = -15$. Divide by 5: $x = \frac{-15}{5} = -3$.

Step3: Find y with x=-3

Substitute $x=-3$ into $y=2x+8$: $y = 2(-3) + 8 = -6 + 8 = 2$.

Answer:

$x=-3$, $y=2$ (or the point $(-3, 2)$)