Equations review homework
question 6 of 6
during his vacation, dalyn rents a small boat from a rental service that charges a flat fee of $50 plus $10 per hour (including taxes).
the total charge comes to $90. which equation can be used to calculate the number of hours, & , that dalyn rents the boat?
a
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d
10x + 50 = 90; 4 hours
10 (x + 50) = 90; 4 hours
50x + 10 = 90: 3 hours
30 (x + 10) = 90: 3 hours
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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