91Ó°ÊÓ

Solve each system by any method, if possible. If a system is inconsistent or if the equations are dependent, state this. $$ \left\\{\begin{array}{l} \frac{r-2}{5}+\frac{s+3}{2}=5 \\ \frac{r+3}{2}+\frac{s-2}{3}=6 \end{array}\right. $$

Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. (Hint: Several coordinates of points of intersection are fractions.) $$ \left\\{\begin{array}{l} 3 x+y=3 \\ 3 x+2 y=0 \end{array}\right. $$

Solve each system by graphing, if possible. If a system is inconsistent or if the equations are dependent, state this. (Hint: Several coordinates of points of intersection are fractions.) $$ \left\\{\begin{array}{l} 2 x-y=-4 \\ 2 y=4 x-6 \end{array}\right. $$

Explain how a system of three equations in three variables can be reduced to a system of two equations in two variables.

To solve mixture problems, do you prefer the one-variable or two-variable solution strategy? Explain why.

What does the graph of a linear equation in three variables such as \(2 x-3 y+9 z=10\) look like?

What does the graph of a linear equation in three variables such as \(2 x-3 y+9 z=10\) look like?

Graph each of the basic functions. $$ f(x)=|x| $$

When using the elimination (addition) method, how can you tell whether a. a system of linear equations has no solution? b. a system of linear equations has infinitely many solutions?