What is the answer to 4+9/x = 5/2 ?

The answer to 4+9/x = 5/2 is x=-6

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4+9/x = 5/2

4 + \frac{9}{x} = \frac{5}{2}

x = - 6

Solution steps

4 + \frac{9}{x} = \frac{5}{2}

Multiply by LCM

8 x + 18 = 5 x

Move

18

to the right side

8 x = 5 x - 18

Move

5 x

to the left side

3 x = - 18

Divide both sides by

3

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 6

3 x - 6 - \frac{9}{x} = 0

\frac{9.1}{b} = \frac{9.6}{4.35}

\frac{x + 3}{8 x} = 77

\frac{8.3}{100} = \frac{4.17}{x}

x^{- 4} + 1 = 0