Solve the equation.
-$$\left| \frac { 7 } { x - 9 } \right| = 9$$

Question

Quizplus · Accepted Answer

To solve the equation $\left| \frac { 7 } { x - 9 } \right| = 9$, we remove the absolute value by setting up two equations: $\frac { 7 } { x - 9 } = 9$ and $\frac { 7 } { x - 9 } = -9$. Solving each equation for $x$ gives us $x = \frac { 88 } { 9 }$ and $x = \frac { 74 } { 9 }$, respectively. Therefore, the solution set is $\left\{ \frac { 88 } { 9 } , \frac { 74 } { 9 } \right\}$.

Solve the Equation ∣7x−9∣=9\left| \frac { 7 } { x - 9 } \right| = 9​x−97​​=9

Solve the Equation $\left| \frac { 7 } { x - 9 } \right| = 9$