Solve the absolute value equation.
-$$| 2 v | = | - 13 - 3 v |$$
A) $\left\{ - 13 , - \frac { 13 } { 5 } \right\}$
B) $\left\{ \frac { 5 } { 13 } , 0 \right\}$
C) $\{ - 13 \}$
D) $\{ 0,16 \}$

Question

Quizplus · Accepted Answer

To solve the equation $| 2v | = | -13 - 3v |$, we consider two cases due to the properties of absolute values:1. $2v = -13 - 3v$Solving for $v$, we add $3v$ to both sides to get $5v = -13$, and then divide by 5 to find $v = -\frac{13}{5}$.2. $2v = 13 + 3v$Subtracting $3v$ from both sides gives $-v = 13$, so $v = -13$.Thus, the solution set is $\left\{ -13, -\frac{13}{5} \right\}$.

Solve the Absolute Value Equation ∣2v∣=∣−13−3v∣| 2 v | = | - 13 - 3 v |∣2v∣=∣−13−3v∣

Solve the Absolute Value Equation $| 2 v | = | - 13 - 3 v |$