Perform the indicated operation. Simplify if possible.
-$\frac { 8 x } { x - 8 } = \frac { 64 } { x - 8 }$
A) $\frac { 8 x - 64 } { x - 16 }$
B) $\frac { 1 } { 8 }$
C)8x
D)8

Question

Quizplus · Accepted Answer

The equation $\frac { 8 x } { x - 8 } = \frac { 64 } { x - 8 }$ simplifies to 8 because both sides of the equation have the same denominator ($x - 8$), which means the numerators must be equal. Therefore, $8x = 64$, and solving for $x$ is not required to match the form of the answers. The correct interpretation is that the factor that equates the numerators is 8, making option D correct.

Perform the Indicated Operation 8xx−8=64x−8\frac { 8 x } { x - 8 } = \frac { 64 } { x - 8 }x−88x​=x−864​

Perform the Indicated Operation $\frac { 8 x } { x - 8 } = \frac { 64 } { x - 8 }$