What is the answer to 3/(x-4)=(10)/(x-9) ?

The answer to 3/(x-4)=(10)/(x-9) is x= 13/7

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3/(x-4)=(10)/(x-9)

\frac{3}{x - 4} = \frac{10}{x - 9}

x = \frac{13}{7}

Decimal Notation

x = 1.85714 \dots

Solution steps

\frac{3}{x - 4} = \frac{10}{x - 9}

Cross multiply

3 x - 27 = 10 x - 40

Move

27

to the right side

3 x = 10 x - 13

Move

10 x

to the left side

- 7 x = - 13

Divide both sides by

- 7

x = \frac{13}{7}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 9

Combine undefined points with solutions:

x = \frac{13}{7}

\frac{2 t - 1}{t + 3} = - 2

\frac{5}{x - 4} = \frac{6}{x - 3}

\frac{11}{w} = \frac{33}{w + 24}

\frac{9}{5} = \frac{63}{x}

\frac{7}{2.5} = \frac{35}{y}

What is the answer to 3/(x-4)=(10)/(x-9) ?
The answer to 3/(x-4)=(10)/(x-9) is x= 13/7
Solve for x: 3/(x-4)=(10)/(x-9)
The solution is x= 13/7