Find all solutions of the given system of equations and check your answer graphically. $\begin{aligned}-\frac{2 x}{3}+\frac{y}{2} &=-\frac{1}{6} \\ \frac{x}{4}-y &=-\frac{3}{4} \end{aligned}$

Intramural Sports The best sports dorm on campus, Lombardi House, has won a total of 12 games this semester. Some of these games were soccer games, and the others were football games. According to the rules of the university, each win in a soccer game earns the winning house 2 points, whereas each win in a football game earns them 4 points. If the total number of points Lombardi House earned was 38 , how many of each type of game did they win?

Investments: Energy Stocks In November 2008, British Petroleum (BP) stock dropped from \(\$ 50\) to \(\$ 48\) per share, and Exxon Mobil (XOM) started and ended the month at \(\$ 75\) per share. \({ }^{7}\) If you invested a total of $\$ 5,750\( in these stocks at the end of October and sold them for \)\$ 5,670$ at the end of November, how many shares of each stock did you buy?

Give an example of a system of three linear equations with he general solution \(x=1, y=1+z, z\) arbitrary. (Check your system by solving it.)

Select one: Multiplying both sides of a linear equation by a nonzero constant results in a linear equation whose graph is (A) parallel to (B) the same as (C) not always parallel to (D) not the same as the graph of the original equation.

In 2007, total revenues from sales of recorded rock, religious, and classical music amounted to \(\$ 4\) billion. Religious music brought in twice as much as classical music, and rock music brought in \(\$ 3\) billion more than religious music. \({ }^{12}\) How much revenue was earned in each of the three categories of recorded music?