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What is the solution to the equation (X/3) +(X/6)=(7/2)

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x/3 + x/6 =7/2
2(x/3) 2(7/2)
2x/6 + x/6 = 14/2
3x/6 = 14/2
3x/6 = 7
6(3x/6) 7*6
3x = 42
3x/3 42/3
x = 14
User Tomas Randus
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4 votes

Answer:

The value of X is 7.

Explanation:

We have to find the solution of the equation


(X)/(3)+(X)/(6)=(7)/(2)

Taking LCM, we get


(2X+X)/(6)=(7)/(2)\\\\(3X)/(6)=(7)/(2)\\\\(X)/(2)=(7)/(2)\\\\2X=14\\\\X=(14)/(2)=7

Hence, the value of X is 7.

User Blueether
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6.6k points