What is the answer to (31)/(2+x)= 51/4 ?

The answer to (31)/(2+x)= 51/4 is x= 22/51

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(31)/(2+x)= 51/4

\frac{31}{2 + x} = \frac{51}{4}

x = \frac{22}{51}

Decimal Notation

x = 0.43137 \dots

Solution steps

\frac{31}{2 + x} = \frac{51}{4}

Cross multiply

124 = (2 + x) \cdot 51

Switch sides

(2 + x) \cdot 51 = 124

Divide both sides by

51

2 + x = \frac{124}{51}

Move

2

to the right side

x = \frac{22}{51}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{22}{51}

(x) = \frac{( 2 x + 3 )}{( x + 2 )}

\frac{6 x ^{2} - ( 3 a )}{2 \cdot x - a ^{2}} = 0

k, x = \frac{1}{k}

\frac{( x - 1 )}{( x - 2 )} + \frac{( x - 3 )}{( x - 4 )} = \frac{31}{3}

x^{- 3} = 125

What is the answer to (31)/(2+x)= 51/4 ?
The answer to (31)/(2+x)= 51/4 is x= 22/51
Solve for x: (31)/(2+x)= 51/4
The solution is x= 22/51