What is the answer to 2/(x-4)+(x+1)/3 =5 ?

The answer to 2/(x-4)+(x+1)/3 =5 is x=9+sqrt(19),x=9-sqrt(19)

Solve for x: 2/(x-4)+(x+1)/3 =5

The solution is x=9+sqrt(19),x=9-sqrt(19)

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\frac{2}{x - 4} + \frac{x + 1}{3} = 5

x = 9 + 19, x = 9 - 19

Decimal Notation

x = 13.35889 \dots, x = 4.64110 \dots

Solution steps

\frac{2}{x - 4} + \frac{x + 1}{3} = 5

Multiply by LCM

6 + (x + 1) (x - 4) = 15 (x - 4)

Solve

6 + (x + 1) (x - 4) = 15 (x - 4) : x = 9 + 19, x = 9 - 19

x = 9 + 19, x = 9 - 19

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 9 + 19, x = 9 - 19

a^{2} = \frac{- k ^{2}}{1 - k}

\frac{x + 1}{2 - x} = \frac{x}{x - 3}

2 x + 1 = \frac{15}{x}

\frac{11}{x + 1} = \frac{3}{x - 1}

10 = \frac{100}{10 x - 120}

What is the answer to 2/(x-4)+(x+1)/3 =5 ?
The answer to 2/(x-4)+(x+1)/3 =5 is x=9+sqrt(19),x=9-sqrt(19)
Solve for x: 2/(x-4)+(x+1)/3 =5
The solution is x=9+sqrt(19),x=9-sqrt(19)