How do you solve #\frac { 2} { 3} = \frac { y - 5} { 18}#?

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Answer 1 · 2017-07-16T21:51:36

See a solution process below:

First, multiply each side of the equation by #color(red)(18)# to eliminate the fractions while keeping the equation balanced:

#color(red)(18) xx 2/3 = color(red)(18) xx (y - 5)/18#

#cancel(color(red)(18))6 xx 2/color(red)(cancel(color(black)(3))) = cancel(color(red)(18)) xx (y - 5)/color(red)(cancel(color(black)(18)))#

#12 = y - 5#

Now, add #color(red)(5)# to each side of the equation to solve for #y# while keeping the equation balanced:

#12 + color(red)(5) = y - 5 + color(red)(5)#

#17 = y - 0#

#17 = y#

#y = 17#