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

The answer to (3x-5)/(x-5)= 2/(x+5) is x=(-4+sqrt(61))/3 ,x=-(4+sqrt(61))/3

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

The solution is x=(-4+sqrt(61))/3 ,x=-(4+sqrt(61))/3

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

x = \frac{- 4 + 61}{3}, x = - \frac{4 + 61}{3}

Decimal Notation

x = 1.27008 \dots, x = - 3.93674 \dots

Solution steps

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

Cross multiply

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

Solve

(3 x - 5) (x + 5) = (x - 5) \cdot 2 : x = \frac{- 4 + 61}{3}, x = - \frac{4 + 61}{3}

x = \frac{- 4 + 61}{3}, x = - \frac{4 + 61}{3}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = - 5

Combine undefined points with solutions:

x = \frac{- 4 + 61}{3}, x = - \frac{4 + 61}{3}

z, w = - \frac{z}{( z + 2 )} \frac{1}{2} (z - 12)

0.25 = \frac{117}{( 58.5 \cdot x )}

x^{- 2} - 4 = 0

\frac{1}{2 \cdot x ( x + 7 )} = 165

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

What is the answer to (3x-5)/(x-5)= 2/(x+5) ?
The answer to (3x-5)/(x-5)= 2/(x+5) is x=(-4+sqrt(61))/3 ,x=-(4+sqrt(61))/3
Solve for x: (3x-5)/(x-5)= 2/(x+5)
The solution is x=(-4+sqrt(61))/3 ,x=-(4+sqrt(61))/3