Question

Q.5) For what values of \( k \) the equations: \[ \begin{array}{c} x+y+z=1 \\ 2 x+y+4 z=k \\ 4 x+y+10 z=k^{2} \end{array} \] have infinite number of solutions? Hence find solutions.

          Q.5) For what values of \( k \) the equations:
\[
\begin{array}{c}
x+y+z=1 \\
2 x+y+4 z=k \\
4 x+y+10 z=k^{2}
\end{array}
\]
have infinite number of solutions? Hence find solutions.

Q.5) For what values of k the equations:

x+y+z=1

2 x+y+4 z=k

4 x+y+10 z=k^2

have infinite number of solutions? Hence find solutions.

Added by Stephen C.

Differential Equations and Linear Algebra

Stephen W. Goode, Scott A. Annin 4th Edition

Chapter 3

Instant Answer

Solved by Expert Jill Tolbert

Step 1

The given system is: 1. \( x + y + z = 1 \) 2. \( 2x + y + 4z = k \) 3. \( 4x + y + 10z = k^2 \) Show more…

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Q.5) For what values of \( k \) the equations: \[ \begin{array}{c} x+y+z=1 \\ 2 x+y+4 z=k \\ 4 x+y+10 z=k^{2} \end{array} \] have infinite number of solutions? Hence find solutions.