$$ \left. \begin{array} { l } { \frac { 5 c + 9 } { - 6 } = - 2 } \ { c = \frac { [ ? ] } { [ ] } } \end{array} ight. $$

Question

$$ \left. \begin{array} { l } { \frac { 5 c + 9 } { - 6 } = - 2 } \ { c = \frac { [ ? ] } { [ ] } } \end{array} ight. $$

UpStudy AI · Accepted Answer

Let's solve the equation step by step to find the value of $$ c $$.

Given the equation:
$$
\frac{5c + 9}{-6} = -2
$$

**Step 1:** Multiply both sides by $$-6$$ to eliminate the denominator:
$$
5c + 9 = (-2) \times (-6)
$$
$$
5c + 9 = 12
$$

**Step 2:** Subtract $$9$$ from both sides to isolate the term with $$c$$:
$$
5c = 12 - 9
$$
$$
5c = 3
$$

**Step 3:** Divide both sides by $$5$$ to solve for $$c$$:
$$
c = \frac{3}{5}
$$

So, the value of $$ c $$ is:
$$
c = \frac{3}{5}
$$

$$
\left. \begin{array} { l }
{ \frac{5c + 9}{-6} = -2 } \
{ c = \frac{3}{5} } 
\end{array} \right.
$$
$$ c = \frac{3}{5} $$

Upstudy AI Solution