91Ó°ÊÓ

Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}4 x=36+8 y \\ 3 x-6 y=27\end{array}\right.$$

Multiply equation in the system by an appropriate number so that the coefficients are integers. Then solve the system by the substitution method. \(\left\\{\begin{array}{l}0.7 x-0.1 y=0.6 \\ 0.8 x-0.3 y=-0.8\end{array}\right.\)

Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}4(3 x-y)=0 \\ 3(x+3)=10 y\end{array}\right.$$

The manager of a candystand at a large multiplex cinema has a popular candy that sells for \(\$ 1.60\) per pound. The manager notices a different candy worth \(\$ 2.10\) per pound that is not selling well. The manager decides to form a mixture of both types of candy to help clear the inventory of the more expensive type. How many pounds of each kind of candy should be used to create a 75 -pound mixture selling for \(\$ 1.90\) per pound?

In Exercises \(11-42,\) solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} x=2 \\ x=-1 \end{array}\right.$$

A grocer needs to mix raisins at \(\$ 2.00\) per pound with granola at \(\$ 3.25\) per pound to obtain 10 pounds of a mixture that costs \(\$ 2.50\) per pound. How many pounds of raisins and how many pounds of granola must be used?

In Exercises \(11-42,\) solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} x=3 \\ x=-2 \end{array}\right.$$

Multiply equation in the system by an appropriate number so that the coefficients are integers. Then solve the system by the substitution method. \(\left\\{\begin{array}{l}1.25 x-0.01 y=4.5 \\ 0.5 x-0.02 y=1\end{array}\right.\)

Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l}2(2 x+3 y)=0 \\ 7 x=3(2 y+3)+2\end{array}\right.$$

In Exercises \(11-42,\) solve each system by graphing. If there is no solution or an infinite number of solutions, so state. Use set notation to express solution sets. $$\left\\{\begin{array}{l} y=0 \\ y=4 \end{array}\right.$$