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5 votes
Solve.
x-3y+2z=1
-x+4y-4z=1
5x-y+6z=9
Write answer in the form (x,y,z).

2 Answers

6 votes
I hope this helps you
Solve. x-3y+2z=1 -x+4y-4z=1 5x-y+6z=9 Write answer in the form (x,y,z).-example-1
User QRohlf
by
8.6k points
4 votes
1x - 3y + 2z = 1 → 1x - 3y + 2z = 1
-1x + 4y - 4z = 1 → -1x + 4y - 4z = 1
5x - 1y + 6z = 9 → y - 2z = 2

1x - 3y + 2z = 1
-1x + 4y - 4z = 1 → -1x + 4y - 4z = 1 → -5x + 20y - 20z = 5
5x - 1y + 6z = 9 → 5x - 2y + 6z = 9 → 5x - 1y + 6z = 9
19y - 14z = 14

y - 2z = 2 → 19y - 38z = 38
19y - 14z = 14 → 19y - 14z = 14
-24z = 24
-24 -24
z = -1
y - 2z = 2
y - 2(-1) = 2
y + 2 = 2
- 2 - 2
y = 0

x - 3y + 2z = 1
x - 3(0) + 2(-1) = 1
x - 0 - 2 = 1
x - 2 = 1
+ 2 + 2
x = 3

(x, y, z) = (3, 0, -1)
User Uelb
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9.2k points