Question 923185
solve
 3y + 6x = 4
 6y + 3x =-6
multiply the 2nd equation by 2, subtract the 1st equation
12y + 6x = -12
 3y + 6x = 4
------------------subtraction eliminates x, find y
9y + 0 = -16
y = -16/9
:
Find x using the 1st equation
3({{{-16/9}}}) + 6x = 4
{{{-16/3}}} + 6x = 4
6x = 4 + {{{16/3}}}
6x = {{{28/3}}}
x = {{{1/6}}} * {{{28/3}}}
x = {{{28/18}}}
reduces to:
x = {{{14/9}}}
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Kind of a pain when they don't have integer solutions, a good dose of "student torment" in this one