What is the answer to 6/(x+16)= 7/(3x+3) ?

The answer to 6/(x+16)= 7/(3x+3) is x= 94/11

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6/(x+16)= 7/(3x+3)

\frac{6}{x + 16} = \frac{7}{3 x + 3}

x = \frac{94}{11}

Decimal Notation

x = 8.54545 \dots

Solution steps

\frac{6}{x + 16} = \frac{7}{3 x + 3}

Cross multiply

18 x + 18 = 7 x + 112

Move

18

to the right side

18 x = 7 x + 94

Move

7 x

to the left side

11 x = 94

Divide both sides by

11

x = \frac{94}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 16, x = - 1

Combine undefined points with solutions:

x = \frac{94}{11}

\frac{7}{x - 3} = \frac{7}{3}

1 + \frac{x}{x - 3} = - \frac{1}{x ^{2} - 3 x}

y, 4 y = \frac{6 + x ^{5}}{x ^{5} y}

5 - \frac{400}{x ^{2}} = 0

\frac{x}{x + 1} - \frac{x - 1}{x} = \frac{1}{20}

What is the answer to 6/(x+16)= 7/(3x+3) ?
The answer to 6/(x+16)= 7/(3x+3) is x= 94/11
Solve for x: 6/(x+16)= 7/(3x+3)
The solution is x= 94/11