How do you solve #\frac { 1} { 5} ( 4n + 1) = \frac { 1} { 8} ( 7n - 2)#?

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Answer 1 · 2018-04-13T16:31:46

#n=6#

Multiply both sides by 40 (5 and 8) this will cancel out the fractions and leave a linear equation to solve.

#40xx1/5(4n+1)=40xx1/8(7n-2)#.
Cancelling leaves

#8(4n+1)=5(7n-2)#
Expanding the brackets leaves

#32n+8=35n-10#
Subtract #32n# from both sides

#8=3n-10#
Add 10 to both sides

#18=3n#

#n=6#