Consider the following linear equations: -8x + 4y + 3z = -4 -8x + (18 – k)y + 2z = -2 -8x + 4y + (7 – k)z = k + 2

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
Problem 1E
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Consider the following linear equations :
-8x + 4y + 3z
= -4
-8x + (18 – k)y + 2z
-2
-8x + 4y + (7 – k)z
= k + 2
Transcribed Image Text:Consider the following linear equations : -8x + 4y + 3z = -4 -8x + (18 – k)y + 2z -2 -8x + 4y + (7 – k)z = k + 2
c)
If the equations have no solution, determine the value of k =
d)
If the equations have infinite number of solutions, determine the value of k =
e)
Suppose x2 =t with t as any real number. Express the infinite solutions for the value
of k determined in part d) as
X1
X2
t+
X3
Note: only input fractions, e.g. 3/2 or integers.
Transcribed Image Text:c) If the equations have no solution, determine the value of k = d) If the equations have infinite number of solutions, determine the value of k = e) Suppose x2 =t with t as any real number. Express the infinite solutions for the value of k determined in part d) as X1 X2 t+ X3 Note: only input fractions, e.g. 3/2 or integers.
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