Adrian solved the equation x2+9=16 using the following steps. Review his work carefully, and then follow the instructions.

Line 1: x2+9=16
Line 2: x+3=±4
Line 3: x+3−3=±4−3
Line 4: x=1 and x=−7
Which statement identifies a mistake Adrian made, if any?

1) In Line 2, he should have subtracted 9 from both sides of the equation because it is not part of the expression that is squared.
2) He did not make a mistake. His answer is correct.
3) In Line 3, he should have added 3 to both sides of the equation to get ±4+3.
4) In Line 4, he subtracted incorrectly. The solutions should be x=±1 and x=±7.

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