Solve each equation for the indicated variable. Round answers to two decimal places as necessary.
$\frac{C}{-6}=4$
Answer (1)
Multiply both sides of the equation by -6: − 6 C × − 6 = 4 × − 6 .
Simplify the equation: C = 4 × − 6 .
Calculate the value of C: C = − 24 .
The solution is: − 24.00 .
Explanation
Understanding the equation We are given the equation − 6 C = 4 and asked to solve for C . This means we want to isolate C on one side of the equation.
Isolating C To isolate C , we need to undo the division by − 6 . We can do this by multiplying both sides of the equation by − 6 . This gives us: − 6 C × − 6 = 4 × − 6
Calculating the value of C Simplifying the left side, we have C . On the right side, we have 4 × − 6 = − 24 . Therefore, the equation becomes: C = − 24
Final Answer Since we are asked to round to two decimal places if necessary, we can write − 24 as − 24.00 .
Stating the solution Therefore, the solution to the equation − 6 C = 4 is C = − 24.00 .
Examples
Imagine you're sharing a bill with friends, and you accidentally divide the total amount by -6 instead of the number of people. If the result is 4 , t hi s p ro b l e mh e lp syo u f in d t h eor i g ina l bi ll am o u n t . B yso l v in g t h ee q u a t i o n \frac{C}{-6} = 4 , yo u d e t er min e t ha tt h eor i g ina l bi llw a s \boxed{-$24}$. The negative sign indicates an error in the division, and the absolute value gives you the correct bill amount.
