What is the answer to 4/x =(10)/(7.5) ?

The answer to 4/x =(10)/(7.5) is x=3

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4/x =(10)/(7.5)

\frac{4}{x} = \frac{10}{7.5}

x = 3

Solution steps

\frac{4}{x} = \frac{10}{7.5}

Cross multiply

30 = x \cdot 10

Switch sides

x \cdot 10 = 30

Divide both sides by

10

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

\frac{- 2}{( x + 1 ) ^{2}} = - 2

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

\frac{4}{( x + 2 )} + \frac{4}{x} = 1

\frac{3 - x}{x - 3} = - 1

\frac{x}{3} = \frac{27}{x}