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6x+11y=47
4x=41+3y
X=41+3y/4
6(41+3y/4)+11y=47
el 6 y el 4 lo dividimos en 2 y da
3(41+3y/2)+11y=47
123+9y/2 + 11y =47
multiplicamos todo por 2
123 + 9y + 22Y = 94
31Y = 94-123
31Y=-29
Y= -29/31
y luego reemplaza la Y en esta formula X= 41+ 3Y/4
donde X= 296/31
Ojala te sirva