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Scolder2000
Scolder2000 Scolder2000
  • 24-09-2014
  • Mathematics
Answered

What is the solution to the equation?
1/3x+1/3(2x-15)=3 1/2
X=(?) (answer has a whole number, denominator, and numerator)
Please explain the answer :P

Verified Answer :

luana
luana luana
  • 24-09-2014

\(\frac{1}{3}x+\frac{1}{3}(2x-15)=3\frac{1}{2}\\\\ \frac{1}{3}x+\frac{1}{3}(2x-15)=\frac{7}{2}\ \ \ |Multiply\ by\ 6\\\\ 2x+2(2x-15)=21\\\\ 2x+4x-30=21\\\\ 6x-30=21\ \ |Add\ 30\\\\ 6x=51\ \ \ |Divide\ by\ 6\\\\ \boxed{x=\frac{51}{6}=8\frac{1}{2}}\)

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