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

Mathematics

Easton Bennett

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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Answers (1)

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Cloe Ayala · 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