The following systems of equations are given: (x+ ay +z = 1 ax+ a'y+z 2+a ax+3ay +z = 2-t x + 3y + x + 2y + |3x - y 5z = 3z = (a + 5): = -a - 7 (2 (1 For each of them, set the values a /a,t for them to the system: i. There is a single 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 7CQ
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please solve for 1st part (single solution )
The following systems of equations are given:
(x+ay+z =1
ax+ a'y+z 2+a
ax +3ay +z = 2-
x + 3y +
x + 2y +
|3x
5z =
3z =
(a + 5): = -a - 7
1
(2
(1
y
For each of them, set the values a /a,t for them to the system:
i. There is a single solution.
ii. Infinity solutions. In this case, write down the general
solution for the system. Indicate the free variables and the
related variables.
ii. There is no solution.
Transcribed Image Text:The following systems of equations are given: (x+ay+z =1 ax+ a'y+z 2+a ax +3ay +z = 2- x + 3y + x + 2y + |3x 5z = 3z = (a + 5): = -a - 7 1 (2 (1 y For each of them, set the values a /a,t for them to the system: i. There is a single solution. ii. Infinity solutions. In this case, write down the general solution for the system. Indicate the free variables and the related variables. ii. There is no solution.
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