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MeloveyCarkaylar MeloveyCarkaylar
  • 21-11-2016
  • Mathematics
Answered

Use the elimination method to solve the following system of equations.


2x - y + z = -3

2x + 2y + 3z = 2

3x - 3y - z = -4

Verified Answer :

Nirina7
Nirina7 Nirina7
  • 23-11-2016

the answer 
2x - y + z = -3          (1)
2x + 2y + 3z = 2       (2)
3x - 3y - z = -4          (3)

 (1) - (2)              3y +2z =5
 3 .(1) - 2.(2)       3y+5z = -1

let 's solve 
3y +2z =5
3y+5z = -1
z= - 2, and 3y =5+4=9,  y=3, so  
2x - 3 -2 = -3 implies x= 1

finally x=1, y=3 and z= -2
proof 
2x - y + z = -3??     2.1 - 3 -2 = -3  (true)

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