How do you solve the equation and identify any extraneous solutions for 5/(3c)=2/3?

Jul 12, 2015

$c = \frac{5}{2}$
$c \ne 0$

Explanation:

$\frac{5}{3 c} = \frac{2}{3}$

$c \ne 0$

Multiply both sides by $3 c$.

$5 = \frac{2}{3} \cdot 3 c$

Cancel the $3$.

$5 = \frac{2}{\cancel{3}} \cdot \cancel{3} c$

$5 = 2 c$

Divide both sides by $2$.

$\frac{5}{2} = c$

Switch sides.

$c = \frac{5}{2}$