已知x+y+z=5,2x+3y-z=9,求代数式6x+13y-3z的值

问题描述:

已知x+y+z=5,2x+3y-z=9,求代数式6x+13y-3z的值

x+y=5-z,则:
2x+2y=10-2z ---------------------(1)
2x+3y=9+z ------------------------(2)
(2)-(1),得:
y=-1+3z
再代入(1),得:
x=6-4z
则:
9x+13y-3z
=9(6-4z)+13(-1+3z)-3z
=54-36z-13+39z-3z
=41