1.Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of yourx- andy-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either$6,000or$12,000. If the partnership raised$516,000, then how many investors contributed$6,000and how many contributed$12,000?

x=$6,000investors

y=$12,000investors

2.Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of yourx- andy-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

A jar contains60nickels and dimes worth$4.60. How many of each kind of coin are in the jar?

x=nickels

y=dimes

3.Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of yourx- andy-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

The concession stand at an ice hockey rink had receipts of$9200from selling a total of3800sodas and hot dogs. If each soda sold for $2 and each hot dog sold for $3, how many of each were sold?

x=sodas

y=hot dogs

4.Carry out the row operation on the matrix.

R₁R₂R₁on

3752

9453