Question #881a0

1 Answer
Jim G.
Feb 24, 2017

#h=-4/7#

Explanation:

To eliminate the fractions in the equation, multiply ALL terms on both sides by the #color(blue)"lowest common multiple"# (LCM) of the denominators 4, 2 and 8

the LCM of 4, 2 and 8 is 8

#rArr(cancel(8)^2xx(5h)/cancel(4)^1)+(cancel(8)^4xx1/cancel(2)^1)=(cancel(8)^1xx(3h)/cancel(8)^1)#

#rArr10h+4=3hlarrcolor(red)"no fractions"#

subtract 3h from both sides.

#10h-3h+4=cancel(3h)cancel(-3h)#

#rArr7h+4=0#

subtract 4 from both sides.

#7hcancel(+4)cancel(-4)=0-4#

#rArr7h=-4#

divide both sides by 7

#(cancel(7) h)/cancel(7)=(-4)/7#

#rArrh=-4/7" is the solution"#

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