Add. Simplify, if possible.
-$$\frac { 4 } { x + y } + \frac { 3 } { y + x }$$
A) $\frac { 1 } { x + y }$
B) $\frac { 7 } { 2 x + 2 y }$
C) $\frac { 4 } { x } + \frac { 3 } { y }$
D) $\frac { 7 } { x + y }$

Question

Quizplus · Accepted Answer

By combining the two fractions and finding a common denominator:
$$\frac{4}{x+y}+\frac{3}{y+x}=\frac{4(y+x)+3(x+y)}{(x+y)(y+x)}=\frac{7(x+y)}{2(x+y)^2}=\frac{7}{2(x+y)}$$
Therefore, choice D is the simplified and best choice.

Add Simplify, If Possible 4x+y+3y+x\frac { 4 } { x + y } + \frac { 3 } { y + x }x+y4​+y+x3​

Add Simplify, If Possible $\frac { 4 } { x + y } + \frac { 3 } { y + x }$