What is the answer to 9/(11x+1)= 5/(7x-3) ?

The answer to 9/(11x+1)= 5/(7x-3) is x=4

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9/(11x+1)= 5/(7x-3)

\frac{9}{11 x + 1} = \frac{5}{7 x - 3}

x = 4

Solution steps

\frac{9}{11 x + 1} = \frac{5}{7 x - 3}

Cross multiply

63 x - 27 = 55 x + 5

Move

27

to the right side

63 x = 55 x + 32

Move

55 x

to the left side

8 x = 32

Divide both sides by

8

x = 4

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{11}, x = \frac{3}{7}

Combine undefined points with solutions:

x = 4

\frac{7}{2 x} = \frac{49}{42}

\frac{( x - 2 )}{x ^{2} - x - 2} = 0

\frac{k}{k ^{2}} = \frac{k - 1}{k}

\frac{36}{a} a = 3

\frac{3}{6} = \frac{4}{x}

What is the answer to 9/(11x+1)= 5/(7x-3) ?
The answer to 9/(11x+1)= 5/(7x-3) is x=4
Solve for x: 9/(11x+1)= 5/(7x-3)
The solution is x=4