What is the answer to (b+3)/b = 4/7 ?

The answer to (b+3)/b = 4/7 is b=-7

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(b+3)/b = 4/7

\frac{b + 3}{b} = \frac{4}{7}

b = - 7

Solution steps

\frac{b + 3}{b} = \frac{4}{7}

Cross multiply

7 b + 21 = b \cdot 4

Move

21

to the right side

7 b = b \cdot 4 - 21

Move

b 4

to the left side

3 b = - 21

Divide both sides by

3

b = - 7

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = - 7

T, P = \frac{I}{T}

\frac{x - 5}{36 - x} = \frac{2}{3}

0.25 = \frac{5 - x}{x ^{2} + 9}

\frac{20}{x} = - 5

\frac{20}{x} = - 4