What is the answer to 2= 4/3-5/b ?

The answer to 2= 4/3-5/b is b=-15/2

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2= 4/3-5/b

2 = \frac{4}{3} - \frac{5}{b}

b = - \frac{15}{2}

Decimal Notation

b = - 7.5

Solution steps

2 = \frac{4}{3} - \frac{5}{b}

Multiply by LCM

6 b = 4 b - 15

Move

4 b

to the left side

2 b = - 15

Divide both sides by

2

b = - \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = - \frac{15}{2}

\frac{4}{x + 1} + \frac{2}{x - 2} = 3

\frac{2}{3} = 3 x - \frac{6}{- x + 3}

\frac{5}{x} = \frac{8}{7}

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

x^{- 1} (x - 3) + x (2 x^{- 1} + 5) = 9