What is the answer to 2+3/x = 11/4 ?

The answer to 2+3/x = 11/4 is x=4

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2+3/x = 11/4

2 + \frac{3}{x} = \frac{11}{4}

x = 4

Solution steps

2 + \frac{3}{x} = \frac{11}{4}

Multiply by LCM

8 x + 12 = 11 x

Move

12

to the right side

8 x = 11 x - 12

Move

11 x

to the left side

- 3 x = - 12

Divide both sides by

- 3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{5}{x} + \frac{x}{3} = 4

\frac{5}{x + 3} + \frac{4}{x + 2} = 2

28 a^{- 2} + 45 a^{- 1} - 7 = 0

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

\frac{x ^{2} - 9}{3 - x} = x + 1