How do you solve \frac { 1} { 5} ( 4n + 1) = \frac { 1} { 8} ( 7n - 2)15(4n+1)=18(7n2)?

1 Answer
Apr 13, 2018

n=6n=6

Explanation:

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)40×15(4n+1)=40×18(7n2).
Cancelling leaves

8(4n+1)=5(7n-2)8(4n+1)=5(7n2)
Expanding the brackets leaves

32n+8=35n-1032n+8=35n10
Subtract 32n32n from both sides

8=3n-108=3n10
Add 10 to both sides

18=3n18=3n

n=6n=6