Question

problem 7
solve this system of equations.
$y = -4x + 2$
$y = 3x - 5$
use the sketch tool or paper if it helps with your thinking.

Explanation:

Step1: Set equations equal

Since $y = -4x + 2$ and $y = 3x - 5$, set them equal:
$-4x + 2 = 3x - 5$

Step2: Isolate x terms

Add $4x$ to both sides:
$2 = 7x - 5$

Step3: Isolate constant terms

Add 5 to both sides:
$7 = 7x$

Step4: Solve for x

Divide by 7:
$x = \frac{7}{7} = 1$

Step5: Solve for y

Substitute $x=1$ into $y=3x-5$:
$y = 3(1) - 5 = 3 - 5 = -2$

Answer:

$x=1$, $y=-2$ (or the ordered pair $(1, -2)$)