Basic Technical Mathematics, 11th Edition

CHAPTER 5 REVIEW EXERCISES

CONCEPT CHECK EXERCISES

Determine each of the following as being either true or false. If it is false, explain why.

1. $x\hspace{0.17em}=\hspace{0.17em}2\hspace{0.17em},\hspace{0.17em}y\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}3$ is a solution of the linear equation $4x\hspace{0.17em}-\hspace{0.17em}3y\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}1\hspace{0.17em}.\hspace{0.17em}$

2. The slope of the line having intercepts $(0\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}3)$ and (2, 0) is 3/2.

3. The system of equations $3x\hspace{0.17em}+\hspace{0.17em}y\hspace{0.17em}=\hspace{0.17em}5\hspace{0.17em},\hspace{0.17em}2y\hspace{0.17em}+\hspace{0.17em}6x\hspace{0.17em}=\hspace{0.17em}10$ is inconsistent.

4. One method of finding the solution of the system of equations $2x\hspace{0.17em}+\hspace{0.17em}3y\hspace{0.17em}=\hspace{0.17em}8\hspace{0.17em},\hspace{0.17em}x\hspace{0.17em}-\hspace{0.17em}y\hspace{0.17em}=\hspace{0.17em}3\hspace{0.17em},\hspace{0.17em}$ would be by multiplying each term of the second equation by 2, and then adding the left sides and adding the right sides.

5. $$\hspace{0.17em}|\hspace{0.17em}\begin{array}{rr}2& 4\\ \hspace{0.17em}-\hspace{0.17em}1& 3\end{array}\hspace{0.17em}|\hspace{0.17em}\hspace{0.17em}=\hspace{0.17em}2$$

6. One method of finding the solution of the following system of equations would be to subtract the left side and the right side of the first equation from the respective ...