91Ó°ÊÓ

Solve each system of inequalities by graphing. $$ \begin{array}{l}{y < 2-x} \\ {y > x+4}\end{array} $$

Solve each system of equations. \(8 x-6 z=38\) \(2 x-5 y+3 z=5\) \(x+10 y-4 z=8\)

Solve each system of linear equations by completing a table. \(x+2 y=6\) \(2 x+y=9\)

Solve each system of inequalities by graphing. $$ \begin{array}{l}{x > 1} \\ {x \leq-1}\end{array} $$

For Exercises \(9-14,\) use the following information. The Future Homemakers Club is making canvas tote bags and leather tote bags for a fund-raiser. They will line both types of tote bags with canvas and use leather for the handles of both. For the canvas bags, they need 4 yards of canvas and 1 yard of leather. For the leather bags, they need 3 yards of leather and 2 yards of canvas. Their advisor purchased 56 yards of leather and 104 yards of canvas. If the club plans to sell the canvas bags at a profit of \(\$ 20\) each and the leather bags at a profit of \(\$ 35\) each, write a function for the total profit on the bags.

Solve each system of equations by using substitution. \(2 j-3 k=3\) \(j+k=14\)

Solve each system of inequalities by graphing. $$ \begin{array}{l}{3 x+2 y \geq 6} \\ {4 x-y \geq 2}\end{array} $$

Solve each system of equations by using substitution. \(2 r+s=11\) \(6 r-2 s=-2\)

Solve each system of linear equations by graphing. \(2 x+3 y=12\) \(2 x-y=4\)

Solve each system of equations by using substitution. \(5 a-b=17\) \(3 a+2 b=5\)