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

The answer to 7/9 =(x+3)/(4-x) is x= 1/16

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

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

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

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

Cross multiply

28 - 7 x = 9 x + 27

Move

28

to the right side

- 7 x = 9 x - 1

Move

9 x

to the left side

- 16 x = - 1

Divide both sides by

- 16

x = \frac{1}{16}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{1}{16}

\frac{x}{2} + \frac{12}{x} = 5

\frac{x - 2}{x - 9} = \frac{5}{6}

\frac{3}{x - 4} + \frac{x - 3}{x} = 2

2 = \frac{x + 2}{x - 6}

x + \frac{12}{x} = 7

What is the answer to 7/9 =(x+3)/(4-x) ?
The answer to 7/9 =(x+3)/(4-x) is x= 1/16
Solve for x: 7/9 =(x+3)/(4-x)
The solution is x= 1/16