How do you solve the rational equation #2/(x+2) = 9/8 - (5x)/(4x+8)#?

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Answer 1 · 2016-03-24T04:06:10

Put on an equal denominator.

#2/(x + 2) = 9/8 + (5x)/(4(x + 2))#

The LCD is (x + 2)(8)

#(2 xx 8)/(8x + 16) = (9(x + 2))/(8x + 16) + (10x)/(8x + 16)#

We can now eliminate the denominators since all the fractions are equivalent. As a result, we will be left with a simple linear equation.

#16 = 9x + 18 + 10x#

#16 - 18 = 19x#

#-2 = 19x#

#-2/19 = x#

Hopefully this helps!