91Ó°ÊÓ

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(x+3 y=19\) \(x-y=-1\)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &x-y=5\\\ &x+2 y=7 \end{aligned} $$

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &y-2 x=-6\\\ &2 y-x=5 \end{aligned} $$

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{aligned} &2 x-y=4\\\ &5 x-y=13 \end{aligned} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(3 x-y=8\) \(x+2 y=5\)

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{aligned} &4 y=x+8\\\ &3 x-2 y=6 \end{aligned} $$

Blending Spices. Spice of Life sells ground sumac for \(\$ 1.35\) per ounce and ground thyme for \(\$ 1.85\) per ounce. Aman wants to make a 20 -oz Zahtar seasoning blend using the two spices that sells for \(\$ 1.65\) per ounce. How much of each spice should Aman use? (IMAGE CANT COPY)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &x-2 y=7\\\ &3 x-21=6 y \end{aligned} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(8 x-3 y=-6\) \(5 x+6 y=75\)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &x-4 y=3\\\ &2 x-6=8 y \end{aligned} $$