Solve the absolute value equation.
-$$| 2 r + 3 | = | 5 r - 17 |$$
A) $\left\{ \frac { 20 } { 3 } \right\}$
B) $\left\{ - \frac { 20 } { 3 } , \frac { 20 } { 3 } \right\}$
C) $\left\{ 2 , \frac { 20 } { 3 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation |2r + 3| = |5r - 17| can be solved by considering two cases: 2r + 3 = 5r - 17 and 2r + 3 = -(5r - 17). Solving these gives r = 2 and r = 20/3.

Solve the Absolute Value Equation ∣2r+3∣=∣5r−17∣| 2 r + 3 | = | 5 r - 17 |∣2r+3∣=∣5r−17∣

Solve the Absolute Value Equation $| 2 r + 3 | = | 5 r - 17 |$