What is the answer to (13)/(4x-5)= 31/3 ?

The answer to (13)/(4x-5)= 31/3 is x= 97/62

Popular >

(13)/(4x-5)= 31/3

\frac{13}{4 x - 5} = \frac{31}{3}

x = \frac{97}{62}

Decimal Notation

x = 1.56451 \dots

Solution steps

\frac{13}{4 x - 5} = \frac{31}{3}

Cross multiply

39 = (4 x - 5) \cdot 31

Switch sides

(4 x - 5) \cdot 31 = 39

Divide both sides by

31

4 x - 5 = \frac{39}{31}

Move

5

to the right side

4 x = \frac{194}{31}

Divide both sides by

4

x = \frac{97}{62}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{4}

Combine undefined points with solutions:

x = \frac{97}{62}

\frac{3}{x} = \frac{6}{2}

x^{- 4} - 10 x^{- 2} + 9 = 0

a, (p + 4) - \frac{( 2 p )}{a} = 8

\frac{5}{( x - 1 )} - \frac{5}{( x - 1 )} = \frac{2}{( x - 2 )} - \frac{2}{( x + 3 )}

9 x - 2 - 7 x (\frac{1}{x} - \frac{1}{2}) = \frac{( 1 + \frac{x}{2} )}{2} + \frac{23}{4}

What is the answer to (13)/(4x-5)= 31/3 ?
The answer to (13)/(4x-5)= 31/3 is x= 97/62
Solve for x: (13)/(4x-5)= 31/3
The solution is x= 97/62