What is the answer to (w+14)/(4w+6)= 3/4 ?

The answer to (w+14)/(4w+6)= 3/4 is w= 19/4

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(w+14)/(4w+6)= 3/4

\frac{w + 14}{4 w + 6} = \frac{3}{4}

w = \frac{19}{4}

Decimal Notation

w = 4.75

Solution steps

\frac{w + 14}{4 w + 6} = \frac{3}{4}

Cross multiply

4 w + 56 = 12 w + 18

Move

56

to the right side

4 w = 12 w - 38

Move

12 w

to the left side

- 8 w = - 38

Divide both sides by

- 8

w = \frac{19}{4}

Verify Solutions

Find undefined (singularity) points:

w = - \frac{3}{2}

Combine undefined points with solutions:

w = \frac{19}{4}

\frac{x ^{2} - 4}{x + 3} = 0

\frac{1}{x + 1} = 0

\frac{x - 5}{x + 4} = \frac{7}{6}

\frac{4 x - 1}{3 x - 7} = \frac{7}{4}

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

What is the answer to (w+14)/(4w+6)= 3/4 ?
The answer to (w+14)/(4w+6)= 3/4 is w= 19/4
Solve for w: (w+14)/(4w+6)= 3/4
The solution is w= 19/4