## Description

x-2y+2z=-11

2x+5y-7z=36

X-y+z=-5

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## Explanation & Answer

Thank you for the opportunity to help you with your question!

take the equations as a,b and c

x-2y+2z=-11------------**a**

2x+5y-7z=36---------**b**

X-y+z=-5-----------**c**

**c*2**

2x-2y+2z =-10-----**d**

**a-d**

x-2y+2z - (2x-2y+2z) = -11-(-10)

both y and z cancells

-x=-1

**x=1**

c*7

7x-7y+7z=-35------**e**

e+b

7x-7y+7z + (2x+5y-7z) =-35+36

9x-2y =1

you know x =1

2y = 1-9

**y=4**

**substitute x and y to equation c**

1-4+z = -5

**z= -2**

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