What is the answer to 7/4 = 5/b-2 ?

The answer to 7/4 = 5/b-2 is b= 4/3

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7/4 = 5/b-2

\frac{7}{4} = \frac{5}{b} - 2

b = \frac{4}{3}

Decimal Notation

b = 1.33333 \dots

Solution steps

\frac{7}{4} = \frac{5}{b} - 2

Multiply by LCM

7 b = 20 - 8 b

Move

8 b

to the left side

15 b = 20

Divide both sides by

15

b = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{4}{3}

\frac{x ^{2} - 4}{x ^{2} - 4 x + 4} = - 1

- x = x^{- 1}

\frac{1.204}{x} = 0.565

\frac{- 2}{3 b} = 75

\frac{2500}{( 10 + y ) ^{2}} - 1 = 0