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

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

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

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

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

Decimal Notation

x = 4, x = - 1.5

Solution steps

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

Cross multiply

2 x (x - 1) = (x + 4) \cdot 3

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 1

Combine undefined points with solutions:

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

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

x^{3} - \frac{4}{x} = 6

y + \frac{6}{y} = 5

s = \frac{a}{1 - r}, r

t, \frac{d}{t} = v

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