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Allisa [31]
3 years ago
15

What is the value of x in the equation x - 2/3 + 1/6 = 5/6? 1) 4 2) 6 3) 8 4) 11

Mathematics
2 answers:
Vilka [71]3 years ago
7 0
The answer is B it is 0.6 or 6
Licemer1 [7]3 years ago
3 0

Answer:

\large\boxed{x=\dfrac{4}{3}=1\dfrac{1}{3}}

Step-by-step explanation:

x-\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\qquad\text{multiply both sides by 6}\\\\6x-6\!\!\!\!\diagup^2\cdot\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)+6\!\!\!\!\diagup^1\cdot\left(\dfrac{1}{6\!\!\!\!\diagup_1}\right)=6\!\!\!\!\diagup^1\cdot\left(\dfrac{5}{6\!\!\!\!\diagup_1}\right)\\\\6x-(2)(2)+1=5\\\\6x-4+1=5\\\\6x-3=5\qquad\text{add 3 to both sides}\\\\6x=8\qquad\text{divide both sides by 6}\\\\x=\dfrac{8}{6}\\\\x=\dfrac{8:2}{6:2}\\\\x=\dfrac{4}{3}

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