Match each equation to the situation it represents.
Situation
Equation
Kate buys 10 tickets to a show. She also pays a $5 parking fee. She spent $35 to see
the show.
53 + 10 = 35
Ram has 35 gel pens. He gives an equal number of pens to each of his 5 friends and
has 10 pens left for himself.
102 + 5 = 35
Yin spends 10 hours on homework this week. She spends 5 hours on science
homework and then answers 35 math problems.
352 +5 = 10

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