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.

Question

Travis Gilmore

Mathematics

3 May, 18:18

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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Answers (1)

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Diana Stewart · Answer 1

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