How do you solve #\frac { 2} { 3} ( n + 5) = \frac { 3} { 4} ( n - 1)#?

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Answer 1 · 2018-04-12T12:59:46

# n = 49 #

You have to isolate the "#n#" terms and bring them to the side of the equation.

But first you get rid of the fractions on both sides by multiplying the left hand side by 4 and the right hand side by 3.

# 2/3 (n + 5) = 3/4 (n - 1) #

# 4*2 (n + 5) = 3*3 (n - 1) #

# 8 (n + 5) = 9 (n - 1) #

Multiply out the brackets and

# 8 n + 40 = 9 n - 9 #

And bring #n# to the right hand side.

# 40 + 9 = 9 n - 8 n #

# n = 49 #