Question 1181804

{{{a+1/b+1 = 2}}}....(1)
{{{2a+1/(2b)+1 = 1/3}}}....(2)
-------------------------------------------

{{{a+1/b+1 = 2}}}....(1)....solve for {{{a}}}

{{{a = 2-1/b-1}}}

{{{a = 1-1/b}}}.....1a)


substitute in eq (2)


{{{2(1-1/b)+1/(2b)+1 = 1/3}}}....(2)...solve for {{{b}}}

{{{2-2/b+1/(2b)+1 = 1/3}}}

{{{3-3/(2 b) = 1/3}}}

{{{3-1/3 = 3/(2b)}}}

{{{8/3= 3/(2b)}}}.......cross multiply

{{{8(2b)= 3*3}}}

{{{16b= 9}}}

{{{highlight(b=9/16)}}}



{{{a = 1-1/b}}}.....1a), substitute {{{b}}}

{{{a = 1-1/(9/16)}}}

{{{a = 1-16/9}}}

{{{highlight(a = -7/9)}}}