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x/2+3y=1 ec1
x+2y=1 ec2
despejando x en ec1
x/2=1-3y
x=2 (1-3y)
x=2-6y
despejando x en ec2
x=1-2y
igualando x=x
2-6y=1-2y
-6y+2y=1-2
-4y=-1
y=-1/-4
y=1/4
sustituyendo y en cualquier x despejada en mi caso usaré
x=1-2y
x=1-2 (1/4)
x=1-1/2
x=1/2
R// X=1/2 , Y=1/4