Consider the system x + y + bz x+by+4z ax +ay+2z = 2 1 = a In each case, determine all values of a and b which give the indicated number of solutions, if possible. If no such a and b exist, give the reason why not. (b) exactly one solution.

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
Section13.5: Systems Involving Nonlinear Equations
Problem 8CQ
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Consider the system
x + y + bz
x+by+4z
ax +ay+2z
=
2
1
= a
In each case, determine all values of a and b which give
the indicated number of solutions, if possible. If no such
a and b exist, give the reason why not.
(b) exactly one solution.
Transcribed Image Text:Consider the system x + y + bz x+by+4z ax +ay+2z = 2 1 = a In each case, determine all values of a and b which give the indicated number of solutions, if possible. If no such a and b exist, give the reason why not. (b) exactly one solution.
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