Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 10, 2023

Solve $4c - 2w = y + 1$ for $c$ and find the solution in terms of $y$ and $w$ .

STEP 1

Assumptions
1. We are given the equation $4c - 2w = y + 1$ .
2. We want to solve for $c$ in terms of $y$ and $w$ .

STEP 2

Isolate the term with $c$ on one side of the equation by moving all other terms to the opposite side.
$4c = y + 1 + 2w$

STEP 3

Divide both sides of the equation by the coefficient of $c$ to solve for $c$ .
$c = \frac{y + 1 + 2w}{4}$

STEP 4

Review the given options to identify which one matches the expression obtained in STEP_3.
$c = \frac{y + 1 + 2w}{4}$

STEP 5

The correct solution for $c$ is:
$c = \frac{y + 1 + 2w}{4}$
This matches the second option:
$c = \frac{y + 1 + 2w}{4}$

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