Larry's lemons is a street vendor business that sells lemonade and lemon bars. a cup of lemonade sells for $2 and a lemon bar sells for $1.50. when all related business expenses are included, a cup of lemonade costs $0.25 to prepare and a lemon bar costs $0.20 to prepare. last monday, one of the vendors selling larry's lemons sold at least $500 worth of lemonade and lemon bars and its expenses were no more than $100. at least 150 cups of lemonade were sold. let x be the number of cups of lemonade sold last monday and y be the number of lemon bars sold last monday. which ordered pair representing a combination of cups of lemonade and lemon bars could have been sold last monday and make sense in the context of the situation?

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24