30 POINTS Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.

Step Work Justification
1 2(x + 1) = 10 Given
2 2x + 2 = 10 Distributive Property
3
4 2x = 8 Simplify
5 two times x over two equals eight over two Division Property of Equality
6 x = 4 Simplify
A. 2x + 2 + 2 = 10 + 2; Addition Property of Equality
B. 2x + 2 − 2 = 10 − 2; Subtraction Property of Equality
C. (2x + 2)(2) = 10(2); Multiplication Property of Equality
D. the quantity two times x plus two all over two equals ten over two; Division Property of Equality

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