What is the answer to 7/(x-1)= 4/(x-6) ?

The answer to 7/(x-1)= 4/(x-6) is x= 38/3

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7/(x-1)= 4/(x-6)

\frac{7}{x - 1} = \frac{4}{x - 6}

x = \frac{38}{3}

Decimal Notation

x = 12.66666 \dots

Solution steps

\frac{7}{x - 1} = \frac{4}{x - 6}

Cross multiply

7 x - 42 = 4 x - 4

Move

42

to the right side

7 x = 4 x + 38

Move

4 x

to the left side

3 x = 38

Divide both sides by

3

x = \frac{38}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 6

Combine undefined points with solutions:

x = \frac{38}{3}

\frac{4}{x} + \frac{3}{x ^{2}} = 4

\frac{x ^{2} - 4 ^{2}}{x - 4} = 4

\frac{x}{9} = \frac{1}{x}

\frac{15}{h} = \frac{5}{6}

\frac{1}{x} = 1 - \frac{12}{x ^{2}}

What is the answer to 7/(x-1)= 4/(x-6) ?
The answer to 7/(x-1)= 4/(x-6) is x= 38/3
Solve for x: 7/(x-1)= 4/(x-6)
The solution is x= 38/3