SOLUTION: What are the solutions to
6x+3y+z=19
x-3y+2z=21
17x-2y+3z=86
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Question 445381: What are the solutions to
6x+3y+z=19
x-3y+2z=21
17x-2y+3z=86
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
6x+3y+z =19--------------1
x-3y+2z=21--------------2
17x-2y+ 2z=86-----------3
consider equation 1 &2 Eliminate y
Add the two
7x+3z=40-------------4
consider equation 2 & 3 Eliminate y
7x+3z=40--------------5
Multiply 2 by -2
Multiply 3 by 3
we get
-2x+6y-4z=-42
51x-6y+ 6z=258
Add the two
49x+2z=216 -------------5 5
Consider (4) & (5) Eliminate z
Multiply 4 by -7
Multiply (5) by 1
we get
-49x-21z=-280
49x+2z=216
Add the two
-19z=-64
/-19
z=3.37
Plug the value of z in 5
49x+6.74=216
49x=209.26
x=4.27
plug value of x & z in 1
25.62+3y+3.37=19
3y=-25.62-3.37+ 19
y=-9.99
m.ananth@hotmail.ca
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