How do you solve #\frac { 3n } { 2} = \frac { 7} { 9}#?

Answer 1

#n=14/27#

Cross multiply both sides.

#(3n)/2=7/9#
#:.27n=14#
#n=14/27#

Our final answer will be

#n=14/27#
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Answer 2

#n=14/27#

#"multiply both sides by the "color(blue)"lowest common multiple"# #"of 2 and 9 which is 18"#
#cancel(18)^9xx(3n)/cancel(2)^1=cancel(18)^2xx7/cancel(9)^1#
#rArr9xx3n=2xx7#
#rArr27n=14#
#"divide both sides by 27"#
#(cancel(27) n)/cancel(27)=14/27#
#rArrn=14/27#
#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#(3xx14/27)/2=(14/9)/2=14/9xx1/2=7/9#
#rArrn=14/27" is the solution"#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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