What is the answer to (k+1)/(2k-1)= 4/5 ?

The answer to (k+1)/(2k-1)= 4/5 is k=3

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(k+1)/(2k-1)= 4/5

\frac{k + 1}{2 k - 1} = \frac{4}{5}

k = 3

Solution steps

\frac{k + 1}{2 k - 1} = \frac{4}{5}

Cross multiply

5 k + 5 = 8 k - 4

Move

5

to the right side

5 k = 8 k - 9

Move

8 k

to the left side

- 3 k = - 9

Divide both sides by

- 3

k = 3

Verify Solutions

Find undefined (singularity) points:

k = \frac{1}{2}

Combine undefined points with solutions:

k = 3

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

\frac{( n + 1 ) !}{n !} = 14

0.7 = \frac{( 31 x - 334.8 )}{31 x}

\frac{x ^{2} - 5}{x ^{2}} = 0

0.48 = \frac{x - 10.4 - 0.03 x}{x}

What is the answer to (k+1)/(2k-1)= 4/5 ?
The answer to (k+1)/(2k-1)= 4/5 is k=3
Solve for k: (k+1)/(2k-1)= 4/5
The solution is k=3