Question

Solve the rational equation 2x/x-3=3x/x-2

Answer 1

Answer:

0,5

Step-by-step explanation:

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Answer 2

Answer:

x = 0 , 5

Step-by-step explanation:

$\frac{2x}{x-3}=\frac{3x}{x-2}$

Cross multiply,

2x* ( x - 2) = 3x *(x - 3)

2x*x - 2*2x  = x*3x - 3*3x

2x² - 4x   = 3x² - 9x

subtract 2x² from both sides

-4x = 3x² - 2x² - 9x           {Combine like terms}

-4x = x² - 9x

Add 9x to both sides

-4x+ 9x = x²

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0  ; x - 5 = 0

                 x = 5