Scolder2000
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



Answer :

luana
[tex]\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}}[/tex]