Question

solve the system of equations graphed on the coordinate axes below.
$y = - 4x$
$y = 3x + 7$

Explanation:

Step1: Set the two - equations equal

Since $y=-4x$ and $y = 3x + 7$, we set $-4x=3x + 7$.

Step2: Solve for $x$

Subtract $3x$ from both sides: $-4x-3x=3x + 7-3x$. So, $-7x=7$. Then divide both sides by $-7$: $x=\frac{7}{-7}=-1$.

Step3: Solve for $y$

Substitute $x = - 1$ into $y=-4x$. Then $y=-4\times(-1)=4$.

Answer:

$x=-1,y = 4$