What is the answer to (18)/(x-5)=(27)/(x-4) ?

The answer to (18)/(x-5)=(27)/(x-4) is x=7

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(18)/(x-5)=(27)/(x-4)

\frac{18}{x - 5} = \frac{27}{x - 4}

x = 7

Solution steps

\frac{18}{x - 5} = \frac{27}{x - 4}

Cross multiply

18 x - 72 = 27 x - 135

Move

72

to the right side

18 x = 27 x - 63

Move

27 x

to the left side

- 9 x = - 63

Divide both sides by

- 9

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 4

Combine undefined points with solutions:

x = 7

\frac{4}{x - 1} = \frac{x + 1}{12}

\frac{1}{3 ( t + 6 ) - 10} = - 3 t + 2

\frac{6}{y - 3} - \frac{4}{y - 3} = 2

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

y, x = \frac{y - 5}{y - 2}

What is the answer to (18)/(x-5)=(27)/(x-4) ?
The answer to (18)/(x-5)=(27)/(x-4) is x=7
Solve for x: (18)/(x-5)=(27)/(x-4)
The solution is x=7