Question

Solve The System
Please Help!!
x-y+z=9
x+y+z=5
x+y-z=-3

A) nothing
B) (3, -2, 4)
C) (3, 4, -2)
D) (4, 3, -2)

Answer 1

ty

Answer 2

x-y+z=9------1
x+y+z=5------2
x+y-z=-3------3
Adding 1 &2 we find 2x+2z=14
similarly subtracting 3 from 2 we find 2z=8 i.e z=4
so 2x+2z=14 i.e. 2x+8=14 i.e. 2x=6 i.e. x= 3
From --2
we have x+y+z=5------2
i.e. 3+y+4=5 i.e. y+7= 5 i.e. y=-2
thus option B) (3, -2, 4) is correct ans