solve the system of equations graphed on the coordinate axes below.\ny = -3x - 2\ny = 5x + 6

Explanation:

Step1: Set the two equations equal

Since $y = - 3x - 2$ and $y = 5x+6$, we set $-3x - 2=5x + 6$.

Step2: Solve for x

Add $3x$ to both sides: $-2=5x + 3x+6$, which simplifies to $-2 = 8x+6$. Then subtract 6 from both sides: $-2-6=8x$, so $-8 = 8x$. Divide both sides by 8, we get $x=-1$.

Step3: Solve for y

Substitute $x = - 1$ into $y = 5x+6$. Then $y=5\times(-1)+6=-5 + 6=1$.

Answer:

$x=-1,y = 1$