What is the answer to 9/(x-1)= 7/(x+5) ?

The answer to 9/(x-1)= 7/(x+5) is x=-26

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9/(x-1)= 7/(x+5)

\frac{9}{x - 1} = \frac{7}{x + 5}

x = - 26

Solution steps

\frac{9}{x - 1} = \frac{7}{x + 5}

Cross multiply

9 x + 45 = 7 x - 7

Move

45

to the right side

9 x = 7 x - 52

Move

7 x

to the left side

2 x = - 52

Divide both sides by

2

x = - 26

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 5

Combine undefined points with solutions:

x = - 26

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

\frac{42}{x} = \frac{x}{9}

\frac{y + 1}{y + 3} = \frac{3 y}{y - 4}

\frac{13}{4 x + 2} = \frac{5}{10}

\frac{24}{x} = \frac{x}{6}

What is the answer to 9/(x-1)= 7/(x+5) ?
The answer to 9/(x-1)= 7/(x+5) is x=-26
Solve for x: 9/(x-1)= 7/(x+5)
The solution is x=-26