solve the following equation x+m-1/2=1-m-2/3
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Answer:
Correct option is
C
m=
5
7
We have m−
2
m−1
=1−
3
m−2
⇒
2
2m−m+1
=
3
3−m+2
....[Taking LCM on LHS and RHS]
⇒
2
m+1
=
3
5−m
⇒3(m+1)=2(5−m) ....[By\quad cross-multiplication]
⇒3m+3=10−2m
⇒3m+2m=10−3 ....[Transposing 3 to RHS and −2m to LHS]
⇒5m=7
⇒m=
5
7
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