What is the answer to 2/(3(6k-30)+k)=100 ?

The answer to 2/(3(6k-30)+k)=100 is k= 4501/950

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2/(3(6k-30)+k)=100

\frac{2}{3 ( 6 k - 30 ) + k} = 100

k = \frac{4501}{950}

Decimal Notation

k = 4.73789 \dots

Solution steps

\frac{2}{3 ( 6 k - 30 ) + k} = 100

Simplify

\frac{2}{3 ( 6 k - 30 ) + k} : \frac{2}{19 k - 90}

\frac{2}{19 k - 90} = 100

Multiply both sides by

19 k - 90

2 = 100 (19 k - 90)

Switch sides

100 (19 k - 90) = 2

Divide both sides by

100

19 k - 90 = \frac{1}{50}

Move

90

to the right side

19 k = \frac{4501}{50}

Divide both sides by

19

k = \frac{4501}{950}

Verify Solutions

Find undefined (singularity) points:

k = \frac{90}{19}

Combine undefined points with solutions:

k = \frac{4501}{950}

4000 = \frac{1000}{x + 1}

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

\frac{700}{x} = 1.2

x, f = \frac{5}{x}

\frac{\frac{2}{3}}{x} = 5

What is the answer to 2/(3(6k-30)+k)=100 ?
The answer to 2/(3(6k-30)+k)=100 is k= 4501/950
Solve for k: 2/(3(6k-30)+k)=100
The solution is k= 4501/950