Question

Finding the Value of a Constant In Exercises 61 and $62,$ find the value of $k$ such that the system of linear equations is inconsistent. $$ \left\{\begin{aligned} 4 x-8 y &=-3 \\ 2 x+k y &=16 \end{aligned}\right. $$

          Finding the Value of a Constant In Exercises 61
and $62,$ find the value of $k$ such that the system of linear
equations is inconsistent.
$$
\left\{\begin{aligned} 4 x-8 y &=-3 \\ 2 x+k y &=16 \end{aligned}\right.
$$

Added by Jonathan J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Varsha Aggarwal

Step 1

First, we can rewrite the system of equations in matrix form as: $$\begin{pmatrix} 4 & -8 \\ 2 & k \end{pmatrix} \begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} -3 \\ 16 \end{pmatrix}$$ Show more…

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Finding the Value of a Constant In Exercises 61 and $62,$ find the value of $k$ such that the system of linear equations is inconsistent. $$ \left\{\begin{aligned} 4 x-8 y &=-3 \\ 2 x+k y &=16 \end{aligned}\right. $$