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15 September, 16:43

George tells you that when variables are in the denominator, the equation four over five plus three over x equals one over two becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.

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  1. 15 September, 18:07
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    Answer

    This explanation shows that the equation is solvable and there is not where in the steps we get a zero on the denominator.

    Explanation

    The equation given in the statement is;

    4/5+3/x=1/2

    This equation can be solved as follows:

    4/5+3/x=1/2

    3/x=1/2-4/5 = (5-8) / 10

    3/x = - 3/10

    Taking the reciprocal on both side of the equation;

    x/3=-10/3

    Multiplying by 3 both sides we get;

    x = - 10
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