Chapter 5

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} 2 x-6 y=0 \\ 3 x-4 y=5 \end{array}\right. $$ (a) (3,1) (b) (-3,4)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \text {}\left\\{\begin{array}{l} 7 x-4 y=-1 \\ -3 x-2 y=1 \end{array}\right. $$ (a) (1,2) (b) (1,-2)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} 2 x+y=5 \\ x+y=1 \end{array}\right. $$ (a) (4,-3) (b) (2,0)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} -3 x+y=8 \\ -x+2 y=-9 \end{array}\right. $$ (a) (-5,-7) (b) (-5,7)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} x+y=2 \\ y=\frac{3}{4} x \end{array}\right. $$ (a) \(\left(\frac{8}{7}, \frac{6}{7}\right)\) (b) \(\left(1, \frac{3}{4}\right)\)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} x+y=1 \\ y=\frac{2}{5} x \end{array}\right. $$ (a) \(\left(\frac{5}{7}, \frac{2}{7}\right)\) (b) (5,2)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} x+5 y=10 \\ y=\frac{3}{5} x+1 \end{array}\right. $$ (a) (-10,4) (b) \(\left(\frac{5}{4}, \frac{7}{4}\right)\)

Determine Whether an Ordered Pair is a Solution of a System of Equations. In the following exercises, determine if the following points are solutions to the given system of equations. $$ \left\\{\begin{array}{l} x+3 y=9 \\ y=\frac{2}{3} x-2 \end{array}\right. $$ (a) (-6,5) (b) \(\left(5, \frac{4}{3}\right)\)

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 3 x+y=-3 \\ 2 x+3 y=5 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -x+y=2 \\ 2 x+y=-4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -3 x+y=-1 \\ 2 x+y=4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -2 x+3 y=-3 \\ x+y=4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} y=x+2 \\ y=-2 x+2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} y=x-2 \\ y=-3 x+2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} y=\frac{3}{2} x+1 \\ y=-\frac{1}{2} x+5 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} y=\frac{2}{3} x-2 \\ y=-\frac{1}{3} x-5 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x-y=3 \\ 2 x-y=4 \end{array}\right. $$

$$ \left\\{\begin{array}{l} -3 x+y=-1 \\ 2 x+y=4 \end{array}\right. $$$$ \left\\{\begin{array}{l} -3 x+y=-1 \\ 2 x+y=4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -3 x+y=-2 \\ 4 x-2 y=6 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=5 \\ 2 x-y=4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x-y=2 \\ 2 x-y=6 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=2 \\ x-y=0 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=6 \\ x-y=-8 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=-5 \\ x-y=3 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=4 \\ x-y=0 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=-4 \\ -x+2 y=-2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -x+3 y=3 \\ x+3 y=3 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -2 x+3 y=3 \\ x+3 y=12 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 2 x-y=4 \\ 2 x+3 y=12 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 2 x+3 y=6 \\ y=-2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -2 x+y=2 \\ y=4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x-3 y=-3 \\ y=2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 2 x-2 y=8 \\ y=-3 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 2 x-y=-1 \\ x=1 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+2 y=2 \\ x=-2 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x-3 y=-6 \\ x=-3 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+y=4 \\ x=1 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 4 x-3 y=8 \\ 8 x-6 y=14 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -2 x+4 y=4 \\ y=\frac{1}{2} x \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 3 x+5 y=10 \\ y=-\frac{3}{5} x+1 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x=-3 y+4 \\ 2 x+6 y=8 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 4 x=3 y+7 \\ 8 x-6 y=14 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 2 x+y=6 \\ -8 x-4 y=-24 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} 5 x+2 y=7 \\ -10 x-4 y=-14 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} x+3 y=-6 \\ 4 y=-\frac{4}{3} x-8 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -x+2 y=-6 \\ y=-\frac{1}{2} x-1 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -3 x+2 y=-2 \\ y=-x+4 \end{array}\right. $$

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing. $$ \left\\{\begin{array}{l} -x+2 y=-2 \\ y=-x-1 \end{array}\right. $$

Determine the Number of Solutions of a Linear System Without graphing the following systems of equations, determine the number of solutions and then classify the system of equations. $$ \left\\{\begin{array}{l} y=\frac{2}{3} x+1 \\ -2 x+3 y=5 \end{array}\right. $$

Determine the Number of Solutions of a Linear System Without graphing the following systems of equations, determine the number of solutions and then classify the system of equations. $$ \left\\{\begin{array}{l} y=\frac{1}{3} x+2 \\ x-3 y=9 \end{array}\right. $$