What is the answer to 7/(7b+5)= 2/(b-5) ?

The answer to 7/(7b+5)= 2/(b-5) is b=-45/7

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7/(7b+5)= 2/(b-5)

\frac{7}{7 b + 5} = \frac{2}{b - 5}

b = - \frac{45}{7}

Decimal Notation

b = - 6.42857 \dots

Solution steps

\frac{7}{7 b + 5} = \frac{2}{b - 5}

Cross multiply

7 b - 35 = 14 b + 10

Move

35

to the right side

7 b = 14 b + 45

Move

14 b

to the left side

- 7 b = 45

Divide both sides by

- 7

b = - \frac{45}{7}

Verify Solutions

Find undefined (singularity) points:

b = - \frac{5}{7}, b = 5

Combine undefined points with solutions:

b = - \frac{45}{7}

- \frac{16 x}{( x ^{2} - 4 ) ^{2}} = 0

\frac{x + 5}{x} = \frac{7}{3}

(a + \frac{1}{a})^{2} = 3

\frac{( x ^{4} - 1 )}{( x ^{3} )} = 0

\frac{( N + 1 ) !}{( N - 1 ) !} = 56

What is the answer to 7/(7b+5)= 2/(b-5) ?
The answer to 7/(7b+5)= 2/(b-5) is b=-45/7
Solve for b: 7/(7b+5)= 2/(b-5)
The solution is b=-45/7