Question

Solve the rational equation:

2x
2-3
3x
x-2
OA. x= 3,4
B. x = -19
OC. x=0,8
O D. x = 0,5

Answer 1

To solve the rational equation, cross-multiply and simplify to find the values of x.

Step-by-step explanation:

To solve the rational equation 2x/(2-3) = 3x/(x-2), we can start by cross-multiplying. This gives us 2x(x-2) = 3x(2-3). Expanding both sides, we get 2x^2 - 4x = 3x - 9x. Simplifying further, we have 2x^2 - 7x = 0. Factoring out an x, we get x(2x-7) = 0. Setting each factor equal to zero, we find that x = 0 and x = 7/2 (or x = 3.5).

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