Solve.
-$\left| \frac { x + 8 } { 8 } \right| = | 3 x + 9 |$ |
A) $\left\{ - \frac { 16 } { 5 } , - \frac { 64 } { 23 } \right\}$
B) $\varnothing$
C) $\left\{ - \frac { 17 } { 25 } , - \frac { 1 } { 23 } \right\}$
D) $\left\{ \frac { 64 } { 25 } , \frac { 80 } { 23 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $\left| \frac { x + 8 } { 8 } \right| = | 3 x + 9 |$, we consider the absolute value properties and solve for $x$ in both scenarios where the expressions inside the absolute values are positive and negative. Solving these equations yields the solutions $\left\{ - \frac { 16 } { 5 } , - \frac { 64 } { 23 } \right\}$.

Solve - ∣x+88∣=∣3x+9∣\left| \frac { x + 8 } { 8 } \right| = | 3 x + 9 |​8x+8​​=∣3x+9∣

Solve
- $\left| \frac { x + 8 } { 8 } \right| = | 3 x + 9 |$