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yulyashka [42]
3 years ago
9

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ecomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning.
Mathematics
2 answers:
Lera25 [3.4K]3 years ago
6 0
1/2 + 3/x = 3/4
3/x = 3/4 - 1/2
3/x = 3/4 - 2/4
3/x = 1/4....this is a proportion, so we cross multiply
(1)(x) = (3)(4)
x = 12

check..
1/2 + 3/12 = 3/4
6/12 + 3/12 = 3/4
9/12 = 3/4
3/4 = 3/4 (correct)

so x = 12

fredd [130]3 years ago
4 0

Answer:

we are given a variable equation as:

\dfrac{1}{2}+\dfrac{3}{x}=\dfrac{3}{4}

we can take variable on one side and constant terms on the other to get

\dfrac{3}{x}=\dfrac{3}{4}-\dfrac{1}{2} \\\\\dfrac{3}{x}=\dfrac{3-1\times 2}{4}\\\\\dfrac{3}{x}=\dfrac{3-2}{4}\\\\\dfrac{3}{x}=\dfrac{1}{4}\\\\x=12

Hence on solving the following variable equation we get that x=12.



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