How do you solve #1/2k-3=2-3/4k #?

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Answer 1 · 2018-04-23T00:28:01

#k=4#

Given: #1/2k-3=2-3/4k#.

Add #3# to both sides.

#=>1/2k-color(red)cancelcolor(black)3+color(red)cancelcolor(black)3=2-3/4k+3#

#=>1/2k=5-3/4k#

Add #3/4k# from both sides.

#=>1/2k+3/4k=5+color(red)cancelcolor(black)(3/4k)-color(red)cancelcolor(black)(3/4k)#

#=>2/4k+3/4k=5#

#=>5/4k=5#

Multiply by #4/5# on both sides.

#=>(color(red)cancelcolor(black)5)/(color(red)cancelcolor(black)4)k*color(red)cancelcolor(black)4/(color(red)cancelcolor(black)5)=5*4/5#

#=>k=4#