What is the value of x - y - z?

x + y + z = 24

x + y - z = 12

x - y + z = 16

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- May 8th 2006, 01:09 PMNatasha1What 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 - May 8th 2006, 01:21 PMOReillyQuote:

Originally Posted by**Natasha1**

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.