Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Xq +hx2 = 4 3x, + 6x2 = k

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 52SGR
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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 = 4
3x, + 6x2 = 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 h3=
and k+
B. The system has no solutions only when h+
and k is any real number.
O C. The system has no solutions only when h+
and k#
D. The system has no solutions only when k#
and h is any real number.
E. The system has no solutions only when ht
and k =
F. The system has no solutions only when h=
and k is any real number.
O G. The system has no solutions only when h =
and k =
H. The system has no solutions only when k=
and h is any real number.
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 = 4 3x, + 6x2 = 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 h3= and k+ B. The system has no solutions only when h+ and k is any real number. O C. The system has no solutions only when h+ and k# D. The system has no solutions only when k# and h is any real number. E. The system has no solutions only when ht and k = F. The system has no solutions only when h= and k is any real number. O G. The system has no solutions only when h = and k = H. The system has no solutions only when k= and h is any real number.
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