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10 September, 06:14

The following equation has denominators that contain variables. For this equation write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. Keeping the restrictions in mind, solve the equation.

2/x=4/5x+2

x=

+4
Answers (1)
  1. 10 September, 06:28
    0
    X = 3/5

    Step-by-step explanation:

    2/x=4/5x+2

    Find the LCM of the denominator 5x and 1

    2/x = 4/5x + 2/1

    2/x = (4 + 10x) / 5x

    Cross multiply the equation

    2 * 5x = (4 + 10x) * x

    10x = 4x + 10x^2

    Collect like term of the mixed number

    10x - 4x = 10x^2

    6x = 10x^2

    Divide both side by 2x

    6x/2x = {10x^2 } / 2x

    3 = 5x

    Divide both side by the coefficient of x

    3/5 = 5x/5

    X = 3/5
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