Question 283475
The reciprocal of x is 1/x.
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{{{2*(1/x) + 4*(1/(3x)) = 1/3}}}
{{{2/x + 4/(3x) = 1/3}}}
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'3x' is the common denominator, so multiply through by 3x to cancel the denominators.
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{{{6 + 4 = x}}}
{{{x = 10}}}
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Checking...
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{{{2(1/10) + 4(1/30) = 2/10 + 4/30 }}}
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{{{2/10 + 4/30 = 6/30 + 4/30 }}}
{{{6/30 + 4/30 = 10/30 = 1/3 }}}
Correct
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The integer is x=10.
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Done