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1 ... x=2-3y/2 2... X=1-12y/-6
igualas ambas ecuaciones despejadas quedándote lo siguiente
-6(2-3y)=2(1-12y).
-12-18y=2-24y
-18y+24y=2+12
6y=14
y=14\6
sustituyendo y en
x= 2-3(14/6)/2
x=-5/2
comprobando
2x+3y=2
2(-5/2)+3(14/6)=2
2=2