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

The answer to (5x)/(x+2)=(3x)/(x+1) is x=0,x= 1/2

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(5x)/(x+2)=(3x)/(x+1)

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

x = 0, x = \frac{1}{2}

Decimal Notation

x = 0, x = 0.5

Solution steps

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

Cross multiply

5 x (x + 1) = (x + 2) \cdot 3 x

Solve

5 x (x + 1) = (x + 2) \cdot 3 x : x = 0, x = \frac{1}{2}

x = 0, x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 1

Combine undefined points with solutions:

x = 0, x = \frac{1}{2}

\frac{34}{x} = \frac{17}{2}

\frac{2 x}{x + 3} = 9 - \frac{6}{x + 3}

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

\frac{2}{3} = \frac{5}{x}

v, λ = \frac{h}{m v}

What is the answer to (5x)/(x+2)=(3x)/(x+1) ?
The answer to (5x)/(x+2)=(3x)/(x+1) is x=0,x= 1/2
Solve for x: (5x)/(x+2)=(3x)/(x+1)
The solution is x=0,x= 1/2