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

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

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(x+1)/(x-2)=(x+3)/(x-4)

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Cross multiply

x^{2} - 3 x - 4 = x^{2} + x - 6

Move

4

to the right side

x^{2} - 3 x = x^{2} + x - 2

Subtract

x^{2} + x

from both sides

x^{2} - 3 x - (x^{2} + x) = x^{2} + x - 2 - (x^{2} + x)

Simplify

- 4 x = - 2

Divide both sides by

- 4

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 4

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{x}{x - 3} - \frac{x + 5}{x ^{2} - 9} = 1

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

\frac{x - 1}{4} + \frac{5}{x + 3} = \frac{7}{2}

12 (2 - x) = \frac{8}{3 \times ( 1 - 2 x )}

c = \frac{5 d + 4 w}{2 w}

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