Question

1. rearrange each of the following equations to isolate for x.

a) $y = mx + b$

b) a

c) $ax + b = c - y$

d) a

Explanation:

Step1: Isolate mx term

Subtract b from both sides:
$y - b = mx$

Step2: Solve for x

Divide both sides by m:
$x = \frac{y - b}{m}$

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Step1: Isolate ax term

Subtract b from both sides:
$ax = c - y - b$

Step2: Solve for x

Divide both sides by a:
$x = \frac{c - y - b}{a}$

Answer:

a) $x = \frac{y - b}{m}$
c) $x = \frac{c - y - b}{a}$

Note: Parts b) and d) of the problem are incomplete. Please provide the full equations for parts b) and d) to solve for x in those cases.