What is the answer to 3/4 = 4/(x-1) ?

The answer to 3/4 = 4/(x-1) is x= 19/3

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3/4 = 4/(x-1)

\frac{3}{4} = \frac{4}{x - 1}

x = \frac{19}{3}

Decimal Notation

x = 6.33333 \dots

Solution steps

\frac{3}{4} = \frac{4}{x - 1}

Cross multiply

3 (x - 1) = 16

Divide both sides by

3

x - 1 = \frac{16}{3}

Move

1

to the right side

x = \frac{19}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{19}{3}

u, B = \frac{d}{1 - u}

\frac{6}{9} = \frac{4}{x}

5 + \frac{19}{z} = \frac{4}{z ^{2}}

\frac{( 7.6 - 2 x ) ^{2}}{x} = 0.722

\frac{3 + x}{5 + x} = \frac{9}{10}