Answer: In Exercises 19 and 20, choose h and k such that

Chapter 1, Problem 19E

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QUESTION:

In Exercises 19 and 20, choose h and k such that the system has

(a) no solution,

(b) a unique solution, and

(c) many solutions. Give separate answers for each part.

\(\begin{array}{r}x_{1}+h x_{2}=2 \\ 4 x_{1}+8 x_{2}=k\end{array}\)

Questions & Answers

QUESTION:

In Exercises 19 and 20, choose h and k such that the system has

(a) no solution,

(b) a unique solution, and

(c) many solutions. Give separate answers for each part.

\(\begin{array}{r}x_{1}+h x_{2}=2 \\ 4 x_{1}+8 x_{2}=k\end{array}\)

ANSWER:

Solution

Step 1:

Given system of equations is

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