What is the answer to (39)/(x+21)= 49/13 ?

The answer to (39)/(x+21)= 49/13 is x=-522/49

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(39)/(x+21)= 49/13

\frac{39}{x + 21} = \frac{49}{13}

x = - \frac{522}{49}

Decimal Notation

x = - 10.65306 \dots

Solution steps

\frac{39}{x + 21} = \frac{49}{13}

Cross multiply

507 = (x + 21) \cdot 49

Switch sides

(x + 21) \cdot 49 = 507

Divide both sides by

49

x + 21 = \frac{507}{49}

Move

21

to the right side

x = - \frac{522}{49}

Verify Solutions

Find undefined (singularity) points:

x = - 21

Combine undefined points with solutions:

x = - \frac{522}{49}

4 = \frac{12 b + 8}{b + 24}

x, y = \frac{2}{x}

4 - \frac{1}{t} = \frac{3}{t ^{2}}

x = \frac{1}{x} + 2

\frac{2}{g + 3} - \frac{1}{g + 1} = 0

What is the answer to (39)/(x+21)= 49/13 ?
The answer to (39)/(x+21)= 49/13 is x=-522/49
Solve for x: (39)/(x+21)= 49/13
The solution is x=-522/49