Perform the operation indicated. Simplify.
-$$\frac { x } { x + 4 } + \frac { 6 x + 5 } { 4 + x }$$
A) $\frac { 7 x + 5 } { x + 4 }$
B) $\frac { x + 5 } { x + 4 }$
C) $\frac { 5 x + 5 } { x + 4 }$
D) $\frac { 7 x } { x + 4 }$

Question

Quizplus · Accepted Answer

Since the denominators are the same ($x + 4$), you can combine the numerators directly: $x + (6x + 5) = 7x + 5$, resulting in $\frac{7x + 5}{x + 4}$.

Perform the Operation Indicated xx+4+6x+54+x\frac { x } { x + 4 } + \frac { 6 x + 5 } { 4 + x }x+4x​+4+x6x+5​

Perform the Operation Indicated $\frac { x } { x + 4 } + \frac { 6 x + 5 } { 4 + x }$