Consider the system x + y + bz x+by+4z = 2 = 1 a ax +ay+2z = 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. (d) infinitely many solutions.

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 = 2
x+by+4z
= 1
=
a
ax+ay+2z
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.
(d) infinitely many solutions
Transcribed Image Text:Consider the system x+y+bz = 2 x+by+4z = 1 = a ax+ay+2z 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. (d) infinitely many solutions
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