Solve the proportion. $$\frac { 5 } { z + 5 } = \frac { - 3 } { 5 z }$$
A) $\left\{ - \frac { 14 } { 3 } \right\}$
B) $\left\{ - \frac { 15 } { 28 } \right\}$
C) $\{ 0 , - 5 \}$
D) $\{ - 5,5 \}$

Question

Quizplus · Accepted Answer

To solve the proportion $\frac{5}{z + 5} = \frac{-3}{5z}$, cross-multiply to get $5 \cdot 5z = -3(z + 5)$. Simplifying, $25z = -3z - 15$. Adding $3z$ to both sides gives $28z = -15$, so $z = -\frac{15}{28}$.

Solve the Proportion 5z+5=−35z\frac { 5 } { z + 5 } = \frac { - 3 } { 5 z }z+55​=5z−3​

Solve the Proportion $\frac { 5 } { z + 5 } = \frac { - 3 } { 5 z }$