What is the answer to 112/7 = 8/(c-3) ?

The answer to 112/7 = 8/(c-3) is c= 7/2

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112/7 = 8/(c-3)

\frac{112}{7} = \frac{8}{c - 3}

c = \frac{7}{2}

Solution steps

\frac{112}{7} = \frac{8}{c - 3}

Cross multiply

112 (c - 3) = 56

Divide both sides by

112

c - 3 = \frac{1}{2}

Move

3

to the right side

c = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

c = 3

Combine undefined points with solutions:

c = \frac{7}{2}

- x = \frac{1}{x}

4 = \frac{x ^{2}}{( 3 - x ) ( 1 - x )}

\frac{21}{x} = 3

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

x - \frac{2 x + 21}{x ^{2} - x + 3} = 5