Q50. - Algebra 1

Question

If $-5c+6=-69$, what is the value of $6c-15$?

Step-by-Step Solution

Answer

The required value is 75.

Step 1. Isolate the variable.

$\begin{array}{l}-5c+6=-69\\ -5c=-69-6\\ -5c=-75\end{array}$

Step 2. Solve for c .

$\begin{array}{l}c=\frac{-75}{-5}\\ c=15\end{array}$

Hence, the value of $c=15$.

Step 3. Put the value of c into the given expression.

Put $c=15$ into $6c-15$.

$\begin{array}{c}6\left(15\right)-15=90-15\\ =75\end{array}$

The value of the expression is 75.