For the value of k such that the following linear equations have an infinite number of solutions, choose the correct expressions of the infinite number of solutions (Only select the correct answers, which can be more than one; your score will be penalized for selecting incorrect answers.). x + 2y + 3z x + (3 + k)y + (3+ k)z -x + 2ky + (3k – 3)z 4 -1 Select one or more: O a. 1 t + 1/3. b. Infinite number of solutions do not exist. O c. t + -1 O d. t + 1 -1/3 1/3 O e. -3 t +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the value of k such that the following linear equations have an infinite number of solutions, choose the correct expressions of the infinite
number of solutions (Only select the correct answers, which can be more than one; your score will be penalized for selecting incorrect answers.).
x + 2y + 3z
3
=
x + (3 + k)y + (3+ k)z
4
-x + 2ky + (3k – 3)z
-1
Select one or more:
O a.
1
t +
O b. Infinite number of solutions do not exist.
t +
-1
O d.
1
t+
1
-1/3
3
t +
Transcribed Image Text:For the value of k such that the following linear equations have an infinite number of solutions, choose the correct expressions of the infinite number of solutions (Only select the correct answers, which can be more than one; your score will be penalized for selecting incorrect answers.). x + 2y + 3z 3 = x + (3 + k)y + (3+ k)z 4 -x + 2ky + (3k – 3)z -1 Select one or more: O a. 1 t + O b. Infinite number of solutions do not exist. t + -1 O d. 1 t+ 1 -1/3 3 t +
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