Consider the following linear equations -7x + 8y + 4z = 9 -7x + (25 – k)y + 3z = 11 - 7x + 8y + (7 – k)z = k + 20

Algebra: Structure And Method, Book 1
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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
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Consider the following linear equations
-7x + 8y + 4z
= 9
-7x + (25 – k)y + 3z = 11
- 7x + 8y + (7 – k)z = k + 20
Transcribed Image Text:Consider the following linear equations -7x + 8y + 4z = 9 -7x + (25 – k)y + 3z = 11 - 7x + 8y + (7 – k)z = k + 20
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 r2 = t with t as any real number. Express the infinite solutions for
the value of k determined in part d) as
t+
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 r2 = t with t as any real number. Express the infinite solutions for the value of k determined in part d) as t+ Note: only input fractions, e.g. 3/2 or integers.
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