Question

Can someone help me solve this equation?
n/7-5n/14=1/7

Answer 1

Sure, let me type out the steps :)

Answer 2

Thank you soo much!

Answer 3

Multiply both sides by a constant to simplify the equation.
Multiply both sides of \(\frac{-3 n}{14} = \frac{1}{7}\) by \(\frac{-14}{3:}\)
\(\frac{-14 (-3) n}{3}\div14 = \frac{-14}{3}\div 7\)
Express ((-14)/3)/7 as a single fraction.
\(\frac{-14}{3}\div 7 = \frac{-14}{3×7}\):
\(\frac{-14 (-3) n}{3×14} = \frac{-14}{3×7}\)
In \(\frac{-14 (-3) n}{3×14}\), divide -14 in the numerator by 14 in the denominator.
\(\frac{-14}{14} = \frac{14 (-1)}{14} = -1:\)
\(\frac{-3-1 n}{3 = \frac{-14}{3×7}\)
In -(-3 n)/3, divide -3 in the numerator by 3 in the denominator.
\(\frac{-3}{3} = \frac{3 (-1)}{3} = -1:\)
-\([-1] n = \frac{-14}{3×7}\)
Multiply all instances of -1 in \(-(-n).\)
\(-1^2 = 1:\)
\(n = \frac{-14}{3×7}\)
In \(\frac{-14}{3×7}\), divide -14 in the numerator by 7 in the denominator.
\(\frac{-14}{7} = \frac{7 (-2)}{7} = -2:\)

Answer 4

Gah, I hate when OS screws with the fractions. Sorry if it looks weird.