Question 1099066
Choose A and B and solve for C. 
Remember that C cannot equal zero.
Let {{{A=1}}},{{{B=3}}},
{{{1(2)+3(-1)=C}}}
{{{C=2-3}}}
{{{C=-1}}}
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Similarly, choose D and E and solve for F same as above.
Also,
{{{D/A<>E/B}}} to maintain linear independence (you don't want the same line).
Let {{{D=-1}}},{{{E=2}}},
{{{-1(2)+2(-1)=F}}}
{{{F=-2-2}}}
{{{F=-4}}}
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{{{x+3y=-1}}}
{{{ -x+2y=-4 }}}