What is the answer to 7/(b-1)= 9/3 ?

The answer to 7/(b-1)= 9/3 is b= 10/3

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7/(b-1)= 9/3

\frac{7}{b - 1} = \frac{9}{3}

b = \frac{10}{3}

Decimal Notation

b = 3.33333 \dots

Solution steps

\frac{7}{b - 1} = \frac{9}{3}

Cross multiply

21 = (b - 1) \cdot 9

Switch sides

(b - 1) \cdot 9 = 21

Divide both sides by

9

b - 1 = \frac{7}{3}

Move

1

to the right side

b = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

b = 1

Combine undefined points with solutions:

b = \frac{10}{3}

\frac{30}{24} = \frac{15}{x}

4 x - \frac{1}{x} = 0

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

\frac{5 x}{2} + \frac{4}{x + 8} = 1

\frac{2 x + 2}{2} = \frac{50}{2 x + 2}