What is the answer to 5/(a-7)= 40/1 ?

The answer to 5/(a-7)= 40/1 is a= 57/8

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5/(a-7)= 40/1

\frac{5}{a - 7} = \frac{40}{1}

a = \frac{57}{8}

Decimal Notation

a = 7.125

Solution steps

\frac{5}{a - 7} = \frac{40}{1}

Cross multiply

5 = (a - 7) \cdot 40

Switch sides

(a - 7) \cdot 40 = 5

Divide both sides by

40

a - 7 = \frac{1}{8}

Move

7

to the right side

a = \frac{57}{8}

Verify Solutions

Find undefined (singularity) points:

a = 7

Combine undefined points with solutions:

a = \frac{57}{8}

\frac{2 x ^{2} + 162}{x ^{2}} + 2 x = 0

\frac{9}{2} = \frac{7}{n - 4}

\frac{7}{4} = \frac{5}{x} - 2

(a + 7) (\frac{851}{a}) = 1110

3 x + 2 (- \frac{1}{10 x}) = 100