On friday, a fruit stand sold a total of 92 apples and oranges. on saturday, the fruit stand sold four times the number of apples and two times the number of oranges. a total of 284 apples and oranges were sold on saturday. which system of equations yields the number of apples, a, and oranges, o, sold on friday? a) a + o = 92 4a + 2o = 284 b) a + o = 284 4a + 2o = 92 c) a + o = 92 2a + 4o = 284 d) a + o = 284 2a + 4o = 92

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