What is the answer to 7= 1/(y-2) ?

The answer to 7= 1/(y-2) is y= 15/7

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7= 1/(y-2)

7 = \frac{1}{y - 2}

y = \frac{15}{7}

Decimal Notation

y = 2.14285 \dots

Solution steps

7 = \frac{1}{y - 2}

Multiply both sides by

y - 2

7 (y - 2) = 1

Divide both sides by

7

y - 2 = \frac{1}{7}

Move

2

to the right side

y = \frac{15}{7}

Verify Solutions

Find undefined (singularity) points:

y = 2

Combine undefined points with solutions:

y = \frac{15}{7}

x^{- 2} + 8 x^{- 1} + 15 = 0

u - 6 = - 5 + \frac{30}{u}

\frac{7 ^{n}}{2 ^{n}} = (3.5)^{n}

\frac{3}{2} = \frac{24}{x}

y, x = 2 - \frac{12}{y + 5}