solve the system of equations graphed on the coordinate axes below.\ny = x + 2\ny = -5x + 8

Answer:

$x = 1,y = 3$

Explanation:

Step1: Set the two equations equal.

Since $y=x + 2$ and $y=-5x + 8$, we have $x + 2=-5x+8$.

Step2: Solve for $x$.

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

Step3: Solve for $y$.

Substitute $x = 1$ into $y=x + 2$, so $y=1+2=3$.