<PRE><B>Question 162818</B>
5 ={{{-1/3}}}y + {{{2/7}}}
:
Multiply by the common multiple of the denominators, 21
21(5) = 21*{{{-1/3}}}y + 21*{{{2/7}}}
:
Cancel the denominators
105 = 7(-1y) + 3(2)
:
105 = -7y + 6
:
105 - 6 = -7y
:
99 = -7y
y = {{{99/(-7)}}}
y = -14{{{1/7}}}
:
:
You can check solution using {{{-99/7}}} in the original equation
5 ={{{(-1/3)*(-99/7)}}} + {{{2/7}}}
5 = +{{{33/7}}} + {{{2/7}}}
5 = {{{35/7}}}</PRE>