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

The answer to (3x-5)/(x+3)=(3x-4)/(2x+1) is x=(6+sqrt(15))/3 ,x=(6-sqrt(15))/3

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

The solution is x=(6+sqrt(15))/3 ,x=(6-sqrt(15))/3

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

x = \frac{6 + 15}{3}, x = \frac{6 - 15}{3}

Decimal

x = 3.29099 \dots, x = 0.70900 \dots

Solution steps

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

Cross multiply

(3 x - 5) (2 x + 1) = (x + 3) (3 x - 4)

Solve

(3 x - 5) (2 x + 1) = (x + 3) (3 x - 4) : x = \frac{6 + 15}{3}, x = \frac{6 - 15}{3}

x = \frac{6 + 15}{3}, x = \frac{6 - 15}{3}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{6 + 15}{3}, x = \frac{6 - 15}{3}

x + \frac{30}{x} = 11

\frac{2}{x ^{3}} - \frac{1}{x ^{2}} = 0

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

\frac{9}{5} = \frac{10}{9 x}

x, \frac{a + b}{x} = z

What is the answer to (3x-5)/(x+3)=(3x-4)/(2x+1) ?
The answer to (3x-5)/(x+3)=(3x-4)/(2x+1) is x=(6+sqrt(15))/3 ,x=(6-sqrt(15))/3
Solve for x: (3x-5)/(x+3)=(3x-4)/(2x+1)
The solution is x=(6+sqrt(15))/3 ,x=(6-sqrt(15))/3