91Ó°ÊÓ

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. \(y=x+3\) \(y=2 x+6\)

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region. $$ \begin{array}{l}{x-3 y \geq-7} \\ {5 x+y \leq 13} \\ {x+6 y \geq-9} \\ {3 x-2 y \geq-7} \\ {f(x, y)=x-y}\end{array} $$

Find the coordinates of the vertices of the figure formed by each system of inequalities. $$ \begin{array}{l}{y \geq 0} \\ {x \geq 0} \\ {x+2 y \leq 8}\end{array} $$

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region. $$ \begin{array}{l}{x+y \geq 4} \\ {3 x-2 y \leq 12} \\ {x-4 y \geq-16} \\\ {f(x, y)=x-2 y}\end{array} $$

Find the coordinates of the vertices of the figure formed by each system of inequalities. $$ \begin{array}{l}{y \geq-4} \\ {y \leq 2 x+2} \\ {2 x+y \leq 6}\end{array} $$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent. \(x+y=4\) \(-4 x+y=9\)

Solve each system of equations by using elimination. \(4 x-5 y=17\) \(3 x+4 y=5\)

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region. $$ \begin{array}{l}{y \geq x-3} \\ {y \leq 6-2 x} \\ {2 x+y \geq-3} \\ {f(x, y)=3 x+4 y}\end{array} $$

Solve each system of equations by using elimination. \(2 c+6 d=14\) \(-\frac{7}{3}+\frac{1}{3} c=-d\)

Find the coordinates of the vertices of the figure formed by each system of inequalities. $$ \begin{array}{l}{x \leq 3} \\ {-x+3 y \leq 12} \\ {4 x+3 y \geq 12}\end{array} $$