How do you solve #\frac { x + 9} { x } = \frac { 14} { 8}#?

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Answer 1 · 2017-11-25T19:40:46

#x=12#

#(x+9)/x=14/8#

We need to do cross multiply

#(x+9)(8)=14*x#

#(8)(x)+(8)(9)=14x#

#8x + 72=14x#

Then subtract #14x# to both sides

#8x + 72 - 4x = 14x - 14x#

#-6x + 72 = 0#

Then subtract #72# to both sides

#-6x + 72 - 72 = 0 - 72#

#-6x = -72#

#x= (-72)/(-6)#

#x=12#