State the inverse operation needed to solve the equation. Solve the equation. $- \frac { 3 } { 5 } x = 3$
A) Multiply by $- \frac { 3 } { 5 } , x = - 5$
B) Multiply by $- \frac { 5 } { 3 } , x = - 5$
C) Multiply by $- \frac { 5 } { 3 } , x = 5$
D) Multiply by $\frac { 5 } { 3 } , x = 5$
E) Multiply by $\frac { 3 } { 5 } , x = - 5$

Question

Quizplus · Accepted Answer

To solve for x, we need to isolate x by performing the inverse operation of multiplication. Since x is being multiplied by -\frac{3}{5}, we need to multiply both sides by the inverse of -\frac{3}{5}, which is -\frac{5}{3}. This gives us:
\begin{align*}
-\frac{3}{5}x &= 3 \
-\frac{5}{3} \cdot \left(-\frac{3}{5}xight) &= -\frac{5}{3} \cdot 3 \
x &= -\frac{15}{3} \
x &= -5
\end{align*} 
Therefore, the correct answer is B.

State the Inverse Operation Needed to Solve the Equation −35x=3- \frac { 3 } { 5 } x = 3−53​x=3

State the Inverse Operation Needed to Solve the Equation $- \frac { 3 } { 5 } x = 3$