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2x+5y=2
despejamo x de la primera ecuacion
x-4y=3
x=3+4y
ahora remplazamos x en la segunda ecuacion
2x+5y=2
2(3+4y)+5y=2
6+8y+5y=2
8y+5y=2-6
13y=-4
y=-4/13
remplazamos
x=3+4y
x=3+4(-4/13)
x=23/13
saludos