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

The answer to x/(x+3)= 2/(x+5) is x=(-3+sqrt(33))/2 ,x=(-3-sqrt(33))/2

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

The solution is x=(-3+sqrt(33))/2 ,x=(-3-sqrt(33))/2

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

x = \frac{- 3 + 33}{2}, x = \frac{- 3 - 33}{2}

Decimal Notation

x = 1.37228 \dots, x = - 4.37228 \dots

Solution steps

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

Cross multiply

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

Solve

x (x + 5) = (x + 3) \cdot 2 : x = \frac{- 3 + 33}{2}, x = \frac{- 3 - 33}{2}

x = \frac{- 3 + 33}{2}, x = \frac{- 3 - 33}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 3, x = - 5

Combine undefined points with solutions:

x = \frac{- 3 + 33}{2}, x = \frac{- 3 - 33}{2}

y + \frac{1}{y} - 22 = 0

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

(- \frac{1}{2 x})^{2} = 16

x, z = \frac{m}{x y}

- \frac{2 x}{2 y} = - \frac{x}{y}

What is the answer to x/(x+3)= 2/(x+5) ?
The answer to x/(x+3)= 2/(x+5) is x=(-3+sqrt(33))/2 ,x=(-3-sqrt(33))/2
Solve for x: x/(x+3)= 2/(x+5)
The solution is x=(-3+sqrt(33))/2 ,x=(-3-sqrt(33))/2