Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. X₁ + hx₂ = 3 5x₁ + 10x₂ = k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions.
X₁ + hx₂
= 3
5x₁ + 10x₂ = k
a. Select the correct answer below and fill in the answer box(es) to complete your choice.
(Type an integer or simplified fraction.)
A. The system has no solutions only when h =
B. The system has no solutions only when h
C. The system has no solutions only when k =
D.
The system has no solutions only when h
The system has no solutions only when k#
O E.
F. The system has no solutions only when h =
G. The system has no solutions only when h
H. The system has no solutions only when h =
and k is any real number.
and k #
and h is any real number.
and k is any real number.
and h is any real number.
and k#
and k =
and k =
Transcribed Image Text:Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. X₁ + hx₂ = 3 5x₁ + 10x₂ = k a. Select the correct answer below and fill in the answer box(es) to complete your choice. (Type an integer or simplified fraction.) A. The system has no solutions only when h = B. The system has no solutions only when h C. The system has no solutions only when k = D. The system has no solutions only when h The system has no solutions only when k# O E. F. The system has no solutions only when h = G. The system has no solutions only when h H. The system has no solutions only when h = and k is any real number. and k # and h is any real number. and k is any real number. and h is any real number. and k# and k = and k =
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