What is the answer to 5/(x-7)= 2/(x-1) ?

The answer to 5/(x-7)= 2/(x-1) is x=-3

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5/(x-7)= 2/(x-1)

\frac{5}{x - 7} = \frac{2}{x - 1}

x = - 3

Solution steps

\frac{5}{x - 7} = \frac{2}{x - 1}

Cross multiply

5 x - 5 = 2 x - 14

Move

5

to the right side

5 x = 2 x - 9

Move

2 x

to the left side

3 x = - 9

Divide both sides by

3

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 7, x = 1

Combine undefined points with solutions:

x = - 3

\frac{3}{x + 4} = 4 + \frac{5}{x - 2}

0 = \frac{x ^{2} + 3 x}{( 3 x + 1 ) ^{2}}

r, F = G \frac{mm}{r ^{2}}

\frac{5}{x} = \frac{2}{x - 3}

\frac{2}{x - 7} = \frac{9}{x + 7}