1.Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)

378

001

(x,y)

=

2.Solve the system by row-reducing the corresponding augmented matrix. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)

2x+y=13

x+y=11

(x,y)

=

3.Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of yourx- andy-variables. Solve the system by row-reducing the corresponding augmented matrix. State your final answer in terms of the original question.

A corn and soybean commodities speculator invested$15,000yesterday with twice as much in soybean futures as in corn futures. How much did she invest in each?

x=$invested in corn futures

y=$invested in soybean futures

4.Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of yourx- andy-variables. Solve the system by row-reducing the corresponding augmented matrix. State your final answer in terms of the original question.

For the final days before the election, the campaign manager has a total of$27,000to spend on TV and radio campaign advertisements. Each TV ad costs $3000 and is seen by 10,000 voters, while each radio ad costs $500 and is heard by 2000 voters. Ignoring repeated exposures to the same voter, how many TV and radio ads will contact98,000voters using the allocated funds?

x=TV ads

y=radio ads