What is the answer to 6=(49-1)/(d-7) ?

The answer to 6=(49-1)/(d-7) is d=15

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6=(49-1)/(d-7)

6 = \frac{49 - 1}{d - 7}

d = 15

Solution steps

6 = \frac{49 - 1}{d - 7}

Simplify

\frac{49 - 1}{d - 7} : \frac{48}{d - 7}

6 = \frac{48}{d - 7}

Multiply both sides by

d - 7

6 (d - 7) = 48

Divide both sides by

6

d - 7 = 8

Move

7

to the right side

d = 15

Verify Solutions

Find undefined (singularity) points:

d = 7

Combine undefined points with solutions:

d = 15

\frac{3}{x - 2} - \frac{7}{4 - x} = 0

\frac{5}{x} = \frac{25}{15}

x - \frac{3 x + 5}{x + 7} = 7

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

x, a = \frac{x - y}{x + y}