2 quick math questions. 10 points to right answer!

x + 3y = 54
30x + 18y= 322

A) Consistent with independence equations
B) Inconsistent with independence
C) Consistent with dependent equations




-2x + 3y = -12
2x + 3y = 24

A) (-2, 28)
B) (9, 2)
C) (2, 9)
D) Inconsistent with independent equations

i) 6x+18y = 324
30x + 18y = 322

A)

ii) 6y = 12
y = 2
x = 9

B)

1). The determinant of the system
is 18-90 = -72
so the system is consistent with
independent equations

2). Add the equations to get
6y = 12
y = 2.
Plug that back into either equation to get x = 9.