If $5c - 2 = 3c$, then what is $24c$?
Understand the Problem
The question involves solving a linear equation for 'c' and then finding the value of 24c. We need to simplify the given equation $5c - 2 = 3c$ to find the value of 'c', and subsequently calculate 24 times that value.
Answer
24
Answer for screen readers
$24$
Steps to Solve
- Isolate the 'c' terms on one side of the equation
To isolate the 'c' terms, subtract $3c$ from both sides of the equation:
$5c - 2 - 3c = 3c - 3c$
This simplifies to:
$2c - 2 = 0$
- Isolate the 'c' term
Add 2 to both sides of the equation:
$2c - 2 + 2 = 0 + 2$
This simplifies to:
$2c = 2$
- Solve for 'c'
Divide both sides of the equation by 2:
$\frac{2c}{2} = \frac{2}{2}$
This gives us:
$c = 1$
- Calculate 24c
Now that we know $c = 1$, we can find the value of $24c$:
$24c = 24 \times 1 = 24$
$24$
More Information
The solution to the equation $5c - 2 = 3c$ is $c = 1$. Consequently, $24c$ equals 24.
Tips
A common mistake is to incorrectly perform the algebraic manipulations, such as adding or subtracting terms from only one side of the equation, or incorrectly dividing to isolate 'c'. Careful attention to each step and ensuring the same operation is applied to both sides of the equation helps avoid these errors.
AI-generated content may contain errors. Please verify critical information
