Question

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.

Answer 1

Answer:

Step-by-step explanation:

The equation is still solvable and the denominator will not become zero as:

Consider the given equation,

$\frac{4}{5}+\frac{3}{x}=\frac{1}{2}$

⇒$\frac{3}{x}=\frac{1}{2}-\frac{4}{5}$

⇒$\frac{3}{x}=\frac{5-8}{10}$

⇒$\frac{3}{x}=\frac{-3}{10}$

⇒$-3x=10{\times}3$

⇒$-3x=30$

⇒$x=-10$

Answer 2

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