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x+y=6
5x-4y=12
y=6-x
5x-4(6-x)=12
5x-24+4x=12
5x+4x=12+24
9x=36
x=36/9
x=4
x+y=6
4+y=6
y=6-4
y=2
Por reducción:
(4)x+y=6
5x-4y=12
4x+4y=24
5x-4y=12
---------------
9x=36
x=36/9
x=4
5(4)-4y=12
20-4y=12
-4y=-20+12
-4y=-8
y=-8/-4
y=2
Saludos, espero haberte ayudado; éxito en tus estudios!