What is the answer to 3/(x+9)= 7/(x+4) ?

The answer to 3/(x+9)= 7/(x+4) is x=-51/4

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3/(x+9)= 7/(x+4)

\frac{3}{x + 9} = \frac{7}{x + 4}

x = - \frac{51}{4}

Decimal Notation

x = - 12.75

Solution steps

\frac{3}{x + 9} = \frac{7}{x + 4}

Cross multiply

3 x + 12 = 7 x + 63

Move

12

to the right side

3 x = 7 x + 51

Move

7 x

to the left side

- 4 x = 51

Divide both sides by

- 4

x = - \frac{51}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 9, x = - 4

Combine undefined points with solutions:

x = - \frac{51}{4}

\frac{5 x}{x ^{2} + 9} = - 1

\frac{25}{f + 2} = \frac{5}{3}

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

\frac{x}{x - 2} + 5 = \frac{2}{x - 2}

t, P = \frac{W}{t}

What is the answer to 3/(x+9)= 7/(x+4) ?
The answer to 3/(x+9)= 7/(x+4) is x=-51/4
Solve for x: 3/(x+9)= 7/(x+4)
The solution is x=-51/4