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x + y = 33.....1)
2x + 5y = 120....2)
1. Se despeja.
1) x = 33 - y
2) x = (120 - 5y)/2
2. Se iguala
33 - y = (120 - 5y)/2
2 (33 - y ) = 120 - 5y
66 - 2y = 120 - 5y
-2y +5y = 120 - 66
3y= 54
y = 54/3
y = 18
3. Se sustituye
x+y=33
x+18 = 33
x=33-18
x=15
4. Comprobación.
15 + 18 = 33
Entonces x=15, y=18