Given : 2х + 5у — z %3D27 x + y + z = 6 2y + 5z = -4 Eliminate x from 2nd & 3rd equation (by addition) 2x + 5y – z = 27 2 (x + y + z = 6) 3y - 3z = 15 And we get : x + y + z = 6 2y + 5z = -4 Зу — 3z = 15 Eliminate y from 3rd and 4th equation (by subtraction) бу — 6z 3D 30 - 6y + 15z = -12 -21z = 42 Then : z = -2 And we end up with: X +y + z =6 2y + 5z = 4 z= -2 By back-substituting: X = 5; y= 3 and z = -2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Spot the mistakes or error in solving the linear system, and then say something about it.
Given :
2х + 5у — z %3D27
x + y + z = 6
2у + 52 %3D —4
Eliminate x from 2nd & 3rd equation (by addition)
2x + 5y – z = 27
2 (x + y + z = 6)
Зу — 32 %3D 15
And we get :
x + y + z = 6
2y + 5z = -4
Зу — 3z
= 15
Eliminate y from 3rd and 4th equation (by subtraction)
бу — 6z — 30
-
6y + 15z = -12
-21z =
42
Then : z = -2
And we end up with:
X +y + z =6
2y + 5z = 4
z= -2
By back-substituting:
X = 5; y= 3 and z = -2
Transcribed Image Text:Given : 2х + 5у — z %3D27 x + y + z = 6 2у + 52 %3D —4 Eliminate x from 2nd & 3rd equation (by addition) 2x + 5y – z = 27 2 (x + y + z = 6) Зу — 32 %3D 15 And we get : x + y + z = 6 2y + 5z = -4 Зу — 3z = 15 Eliminate y from 3rd and 4th equation (by subtraction) бу — 6z — 30 - 6y + 15z = -12 -21z = 42 Then : z = -2 And we end up with: X +y + z =6 2y + 5z = 4 z= -2 By back-substituting: X = 5; y= 3 and z = -2
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