How many solutions does the equation have? 3(4x-3)-7x=5x-9 A. one solution B. infinite solutions C. no solution

asked Sep 14, 2015 20.8k views

4 votes

How many solutions does the equation have?

3(4x-3)-7x=5x-9

A.
one solution

B.
infinite solutions

C.
no solution

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3 votes

$3(4x-3)-7x=5x-9\\ 12x-9-7x=5x-9\\ 5x-9=5x-9\\ x\in \mathbb{R} \Rightarrow B$

Alpalalpal answered Sep 16, 2015

7.5k points

5 votes

$3(4x-3)-7x=5x-9\\\\3(4x)+3(-3)-7x=5x-9\\\\12x-9-7x=5x-9\\\\\boxed{5x-9=5x-9}\\\\conclusion:\boxed{B.\ infinite\ solutions}$

SoroushA answered Sep 18, 2015

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