Add. Simplify, if possible.
-$\frac{3 x+4}{2 x-3}+\frac{3-7 x}{-3+2 x}$
A) $\frac{7 x+1}{2 x-3}$
B) $-2 x-\frac{7}{3}$
C) $\frac{-4 x+7}{4 x-6}$
D) $\frac{-4 x+7}{2 x-3}$

Question

Quizplus · Accepted Answer

The given expression can be simplified by noticing that the denominators are the same after simplification. The expression becomes $\frac{3x+4}{2x-3} + \frac{3-7x}{2x-3}$ after realizing that $-3+2x$ is the same as $2x-3$ but written differently. Adding the numerators gives $\frac{3x+4+3-7x}{2x-3} = \frac{-4x+7}{2x-3}$, which matches option D.

Add Simplify, If Possible 3x+42x−3+3−7x−3+2x\frac{3 x+4}{2 x-3}+\frac{3-7 x}{-3+2 x}2x−33x+4​+−3+2x3−7x​ A) 7x+12x−3\frac{7 x+1}{2 x-3}2x−37x+1​

Add Simplify, If Possible $\frac{3 x+4}{2 x-3}+\frac{3-7 x}{-3+2 x}$ A) $\frac{7 x+1}{2 x-3}$