Question

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

Explanation:

Step1: Set the two equations equal

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

Step2: Solve for x

Add $x$ to both sides: $3 = 3x+x+7$, which simplifies to $3 = 4x+7$. Then subtract 7 from both sides: $3 - 7=4x$, so $- 4=4x$. Divide both sides by 4: $x=-1$.

Step3: Solve for y

Substitute $x = - 1$ into $y=-x + 3$. Then $y=-(-1)+3=1 + 3=4$.

Answer:

$x=-1,y = 4$