Question

1. $y = -3x + 1$

$y = x - 7$
(2,-1)

Explanation:

Step1: Set equations equal

Since $y$ is equal to both expressions, set them equal to each other:
$-3x + 1 = x - 7$

Step2: Isolate x terms

Subtract $x$ from both sides:
$-3x - x + 1 = -7$
$-4x + 1 = -7$

Step3: Isolate constant terms

Subtract 1 from both sides:
$-4x = -7 - 1$
$-4x = -8$

Step4: Solve for x

Divide both sides by $-4$:
$x = \frac{-8}{-4} = 2$

Step5: Solve for y

Substitute $x=2$ into $y = x - 7$:
$y = 2 - 7 = -5$

Answer:

The solution is $(2, -5)$