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George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 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 :

Sweeteany34go

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.

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