Question

solve the system of equations graphed on the coordinate axes below.
$y = \frac{3}{4}x - 2$
$y = -\frac{1}{2}x - 7$

Explanation:

Step1: Set equations equal (same y)

$\frac{3}{4}x - 2 = -\frac{1}{2}x - 7$

Step2: Multiply by 4 to eliminate fractions

$3x - 8 = -2x - 28$

Step3: Isolate x terms

$3x + 2x = -28 + 8$
$5x = -20$

Step4: Solve for x

$x = \frac{-20}{5} = -4$

Step5: Substitute x into first equation

$y = \frac{3}{4}(-4) - 2$
$y = -3 - 2 = -5$

Answer:

$x=-4, y=-5$ or the point $(-4, -5)$