Question 1178249


{{{(3/4)x +(-1/6)y  = 1/2}}}...........eq.1

{{{(-1/4)x + (-1/2)y  = 2}}}.........eq.2
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{{{(3/4)x +(-1/6)y  = 1/2}}}........both sides multiply by {{{12}}} to get rid of fraction

{{{12(3/4)x -12(1/6)y  = 12*(1/2)}}}

{{{9x -2y  = 6}}}..........solve for {{{x}}}

{{{x   =2y/9+ 6/9}}}

 {{{x   =2y/9+ 2/3}}}.........1a)



{{{(-1/4)x + (-1/2)y  = 2}}}.........eq.2.......both sides multiply by {{{4}}}

{{{-x  -2y  = 8}}}...........solve for {{{x}}}

{{{x=-8 -2y }}}.........2a)

from 1a) and 2a) we have

 {{{2y/9+ 2/3=-8 -2y }}}.......solve for {{{y}}}

{{{2y/9+2y =-8 -2/3 }}}

{{{2y/9+18y/9 =-24/3 -2/3 }}}

{{{20y/9 =-26/3  }}}

{{{20y*3 =-26*9  }}}....simplify

{{{20y =-26*3  }}}

{{{y =-78/20 }}}

{{{y =-39/10 }}}


go to

{{{x=-8 -2y }}}.........2a), substitute {{{y}}}

{{{x=-8 -2(-39/10) }}} 

{{{x=-1/5 }}}