Respuesta:
X=74.5
Y=68.5
Z=82
Explicación paso a paso:
X+Y+Z = 225 (1)
X-Y+Z = 88 (2)
X=Y+6 (3)
Igualamos Ec (1) y Ec (2)
X+Y+Z = 225
X-Y+Z = 88
-------------------
2X + 2Z = 313 (4)
Igualamos Ec (1) y Ec (3)
X=Y+6
------------------
2X + Z = 231 (5)
Igualamos Ec (4) y Ec (5)
2X + 2Z = 313
2X + Z = 231 //(-1)
-2X - Z = -231
Z = 82
Reemplazar Z en la Ec (5)
2X + Z = 231
2X + 82 = 231 => X = 74.5
Reemplazar X en la Ec (3)
Y=X-6 => Y = 68.5
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Respuesta:
X=74.5
Y=68.5
Z=82
Explicación paso a paso:
X+Y+Z = 225 (1)
X-Y+Z = 88 (2)
X=Y+6 (3)
Igualamos Ec (1) y Ec (2)
X+Y+Z = 225
X-Y+Z = 88
-------------------
2X + 2Z = 313 (4)
Igualamos Ec (1) y Ec (3)
X+Y+Z = 225
X=Y+6
------------------
2X + Z = 231 (5)
Igualamos Ec (4) y Ec (5)
2X + 2Z = 313
2X + Z = 231 //(-1)
-------------------
2X + 2Z = 313
-2X - Z = -231
-------------------
Z = 82
Reemplazar Z en la Ec (5)
2X + Z = 231
2X + 82 = 231 => X = 74.5
Reemplazar X en la Ec (3)
X=Y+6
Y=X-6 => Y = 68.5