91Ó°ÊÓ

Solve the system of equations by using the addition method. (See Examples \(3-4)\) $$ \begin{array}{l} 0.25 x-0.04 y=0.24 \\ 0.15 x-0.12 y=0.12 \end{array} $$

Solve the system of equations. If a system does not have one unique solution, determine the number of solutions to the system. $$ \begin{aligned} 3 x+2 y+5 z &=6 \\ 3 y-z &=4 \\ 3 x+17 y &=26 \end{aligned} $$

Graph the solution set. \(-4-3(x-y)<2 y-4\)

Use the given constraints to find the maximum value of the objective function and the ordered pair \((x, y)\) that produces the maximum value. \(x \geq 0, y \geq 0\) \(3 x+4 y \leq 48\) \(2 x+y \leq 22\) \(y \leq 9\) a. Maximize: \(z=100 x+120 y\) b. Maximize: \(z=100 x+140 y\)

Solve the system by using any method. $$ \begin{array}{l} x^{2}-4 x y+4 y^{2}=1 \\ x+y=4 \end{array} $$

Solve the system of equations by using the addition method. (See Examples \(3-4)\) $$ \begin{array}{l} 2 x+11 y=4 \\ 3 x-6 y=5 \end{array} $$

Solve the system of equations. If a system does not have one unique solution, determine the number of solutions to the system. $$ \begin{array}{l} 0.2 x=0.1 y-0.6 z \\ 0.004 x+0.005 y-0.001 z=0 \\ 30 x=50 z-20 y \end{array} $$

Use the given constraints to find the maximum value of the objective function and the ordered pair \((x, y)\) that produces the maximum value. \(x \geq 0, y \geq 0\) \(x+y \leq 20\) \(x+2 y \leq 36\) \(x \leq 14\) a. Maximize: \(z=12 x+15 y\) b. Maximize: \(z=15 x+12 y\)

Solve the system of equations. If a system does not have one unique solution, determine the number of solutions to the system. $$ \begin{array}{l} 0.3 x=0.5 y-1.2 z \\ 0.05 x+0.1 y=0.04 z \\ 100 x=300 y-700 z \end{array} $$

Solve the system by using any method. $$ \begin{array}{l} x^{2}-6 x y+9 y^{2}=0 \\ x-y=2 \end{array} $$