How do you solve #\frac { 7} { 9y - 2} = \frac { 4} { 49y }#?

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Answer 1 · 2017-07-26T02:35:00

#y=-8/307#

Solve:

#color(red)7/(color(blue)(9y-2))=color(purple)4/(color(green)(49y)#

Cross multiply by multiplying the denominator of each fraction by the numerator of the opposite fraction.

#color(red)7xxcolor(green)(49y)=color(purple)(4)(color(blue)(9y)-color(blue)2)#

Expand the right-hand side.

#7xx49y=36y-8#

Simplify.

#343y=36y-8#

Subtract #36y# from both sides.

#343y-36y=-8#

Simplify.

#307y=-8#

Divide both sides by #307#

#y=-8/307#