What is the answer to n/(n-3)= 2/3 ?

The answer to n/(n-3)= 2/3 is n=-6

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n/(n-3)= 2/3

\frac{n}{n - 3} = \frac{2}{3}

n = - 6

Solution steps

\frac{n}{n - 3} = \frac{2}{3}

Cross multiply

n \cdot 3 = 2 n - 6

Move

2 n

to the left side

n = - 6

Verify Solutions

Find undefined (singularity) points:

n = 3

Combine undefined points with solutions:

n = - 6

\frac{2}{x + 2} - \frac{7}{x - 5} = 10

x - \frac{6}{x - 5} = 0

\frac{3}{x} = 6

\frac{5}{y - 7} = \frac{3}{y - 5}

\frac{2}{x + 8} = \frac{3}{x - 9}