Questions: Solve the equation or formula for the variable indicated. 3c - 8d = 12, for c

Solve the equation or formula for the variable indicated.
3c - 8d = 12, for c
Transcript text: Question 29 - 2.6 and 2.7 Review rod.mheducation.com | Hy... Mc Graw 2.6 and 2.7 Review Question 29 of 30 Question 29 Solve the equation or formula for the variable indicated. $3 c-8 d=12$, for $c$ $\square$ 1 $\square$ Next Question Check Answer O2024 McGraw Hill. All
failed

Solution

failed
failed

Solution Steps

To solve the equation \(3c - 8d = 12\) for \(c\), we need to isolate \(c\) on one side of the equation. This involves moving all other terms to the opposite side of the equation and then dividing by the coefficient of \(c\).

Step 1: Rearranging the Equation

We start with the equation:

\[ 3c - 8d = 12 \]

To isolate \(c\), we first add \(8d\) to both sides:

\[ 3c = 12 + 8d \]

Step 2: Solving for \(c\)

Next, we divide both sides by \(3\) to solve for \(c\):

\[ c = \frac{12 + 8d}{3} \]

This can be simplified further:

\[ c = \frac{12}{3} + \frac{8d}{3} = 4 + \frac{8d}{3} \]

Final Answer

Thus, the solution for \(c\) in terms of \(d\) is:

\[ \boxed{c = \frac{8d}{3} + 4} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful