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
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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