# Math Help - What is the value of x - y - z?

1. ## What is the value of x - y - z?

What is the value of x - y - z?

x + y + z = 24
x + y - z = 12
x - y + z = 16

2. Originally Posted by Natasha1
What is the value of x - y - z?

x + y + z = 24
x + y - z = 12
x - y + z = 16
From second equation we get
z=x+y-12

In third equation we replace z
x-y+x+y-12=16
2x=28
x=14

So we get now
y+z=10
y-z=-2
-y+z=2

From second equation we get y=z-2

We replace y in first equation
z-2+z=10
2z=12
z=6

So we have x=14 and z=6 so we get that y=4.

So x-y-z=14-4-6=4.