Question

solve for v.
\\(\frac{2}{7v} + \frac{5}{3v} = 1\\)
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.

Explanation:

Step1: Find a common denominator

The denominators are \(7v\) and \(3v\), so the common denominator is \(21v\). Rewrite each fraction with the common denominator:
\(\frac{2\times3}{7v\times3} + \frac{5\times7}{3v\times7} = 1\)
\(\frac{6}{21v} + \frac{35}{21v} = 1\)

Step2: Combine the fractions

Add the numerators together:
\(\frac{6 + 35}{21v} = 1\)
\(\frac{41}{21v} = 1\)

Step3: Solve for \(v\)

Multiply both sides by \(21v\):
\(41 = 21v\)
Then divide both sides by \(21\):
\(v = \frac{41}{21}\)

Answer:

\(\frac{41}{21}\)