Question

bcps 2025-26
$7x - 4y=-8$
$y = \frac{3}{4}x - 3$
what is the closest approximate solution to the system of equations?
$(-5, -7.2)$
$(-5, -6.8)$
$(-5, -6.2)$
$(-5, -5.9)$

Explanation:

Step1: Substitute $x=-5$ into second equation

Substitute $x=-5$ into $y=\frac{3}{4}x - 3$:
$y=\frac{3}{4}(-5)-3 = -\frac{15}{4}-3 = -3.75 - 3 = -6.75$

Step2: Substitute $x=-5$ into first equation

Rearrange $7x-4y=-8$ to solve for $y$: $y=\frac{7x+8}{4}$
Substitute $x=-5$:
$y=\frac{7(-5)+8}{4}=\frac{-35+8}{4}=\frac{-27}{4}=-6.75$

Step3: Match to closest option

$-6.75$ is closest to $-6.8$

Answer:

(-5, -6.8)