91Ó°ÊÓ

Solve each system of equations by using elimination

$\begin{array}{c}\text{ â¶Ä‰â¶Ä‰}3s+2t=−\text{ }3\\ \text{ â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰â€‰â¶Ä‰â¶Ä‰}s+\frac{1}{3}t=−\text{ }4\end{array}$

The sum of 3 numbers is 20. The second number is 4 times the first and the sum of the first and third is 8. Find the numbers.

Solve each system of equations by graphing.

$\begin{array}{c}\frac{4}{3}x+\frac{1}{5}y=3\\ \frac{2}{3}x−\frac{3}{5}y=5\end{array}$

Solve each system of equations by graphing.

24.$\begin{array}{l}y≤x+4\\ 2yâ‰\yen x-3\end{array}$

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

$\begin{array}{c}24.x+yâ‰\yen 4\\ 3x−2y≤12\\ x−4yâ‰\yen −16\\ f(x,y)=x−2y\end{array}$

The sum of 3 numbers is 12. The first number is twice the sum of the second and third. The third number is 5 less than the first. Find the numbers.

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

$\begin{array}{c}y=x+4\\ y=x−4\end{array}$

Solve each system of equations by using either substitution or elimination.

$\begin{array}{c}25.\text{ â¶Ä‰â¶Ä‰â€‰â€‰}r+4s=−\text{ }8\\ 3r+2s=6\end{array}$

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

$\begin{array}{c}25.x+yâ‰\yen 2\\ 4y≤x+8\\ yâ‰\yen 2x−5\\ f(x,y)=4x+3y\end{array}$

Find the coordinates of the vertices of the figure formed by each system of inequalities.

$\begin{array}{c}25.yâ‰\yen −4\\ y≤2x+2\\ 2x+y≤6\end{array}$