What is the answer to 4/(x+1)= 3/7 ?

The answer to 4/(x+1)= 3/7 is x= 25/3

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4/(x+1)= 3/7

\frac{4}{x + 1} = \frac{3}{7}

x = \frac{25}{3}

Decimal Notation

x = 8.33333 \dots

Solution steps

\frac{4}{x + 1} = \frac{3}{7}

Cross multiply

28 = (x + 1) \cdot 3

Switch sides

(x + 1) \cdot 3 = 28

Divide both sides by

3

x + 1 = \frac{28}{3}

Move

1

to the right side

x = \frac{25}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{25}{3}

2 + \frac{6}{x ^{4}} = 0

\frac{3}{4 x + 1} = \frac{7}{4}

0.26844 = \frac{50 - x}{x}

\frac{4}{n + 3} = \frac{3}{2}

\frac{1}{x - 2} + 3 = \frac{16}{x - 2}