Graph and solve the system: (1 point)

1: 3=4y+x
4y= -x+3
a. (1,7)
,0)
c.(2,-3)
d. infinitely many solutions.

2: y=-3x+3
y=2x-7
a.(0,2)
,-2)
c.(2,-3)
d. no solution

3: 3x+6y-12=0
x+2y=8
a.(3,-3)
b.(1,7)
,1)
d. no solution

Find the area of the regular hexagon if a side is 20 cm.

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

Perry observes the opposite parallel walls of a room in how many lines do the plains containing the walls intersect