Answer:
x = 0 , 5
Step-by-step explanation:
[tex]\frac{2x}{x-3}=\frac{3x}{x-2}[/tex]
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
