91Ó°ÊÓ

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} \frac{3 w}{5}+\frac{4 z}{3}=44 \\ \frac{5 w}{8}+\frac{7 z}{6}=45 \end{array}\right.$$

Solve the given inequality and sketch the solution set on a number line. $$1 \leq 7-2 x<13$$

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} 5 x-3 y=20 \\ 7 x+2 y=28 \end{array}\right.$$

An orchestral society put on a concert. The members sold 200 tickets in advance and 75 tickets at the door. They charged \(\$ 1.50\) more for tickets at the door than for advance-purchase tickets. If they collected a total of \(\$ 1075,\) how much did they charge for tickets at the door?

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} 6 x-9 y=45 \\ 8 x-5 y=25 \end{array}\right.$$

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} 7 x+4 y=5 \\ 4 x+3 y=0 \end{array}\right.$$

The U.S. House of Representatives has 435 members, all of whom voted on a certain bill. The ratio of those who voted in favor of the bill to those who voted against it was 8 to \(7 .\) How many were in favor of the bill?

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} 6 x+5 y=13 \\ 5 x+3 y=5 \end{array}\right.$$

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} \frac{x}{2}+\frac{y}{3}=1 \\ \frac{x}{4}-y=11 \end{array}\right.$$

In Exercises \(29-62,\) solve the system of equations using any method you choose. $$\left\\{\begin{array}{l} \frac{x}{3}-\frac{y}{4}=2 \\ x+\frac{y}{3}=-7 \end{array}\right.$$