What is the answer to 6/(x+1)= 5/40 ?

The answer to 6/(x+1)= 5/40 is x=47

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6/(x+1)= 5/40

\frac{6}{x + 1} = \frac{5}{40}

x = 47

Solution steps

\frac{6}{x + 1} = \frac{5}{40}

Cross multiply

240 = (x + 1) \cdot 5

Switch sides

(x + 1) \cdot 5 = 240

Divide both sides by

5

x + 1 = 48

Move

1

to the right side

x = 47

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 47

\frac{- 8}{r + 6} = 4

\frac{2}{6} = \frac{10}{x}

\frac{x}{x ^{2} - 4} = 0

\frac{7}{5} = \frac{63}{x}

\frac{z + 9}{z ^{2} - 81} = 1