Without graphing, is the system independent, dependent, or inconsistent? 1.) -2x - y = 9 and 3x - 4y = -8 2.) 12x + 3y = 12 and y = -4x + 5

Putting the equations into standard form helps me identify dependent and inconsistent systems. In standard form, the leading coefficient is positive, and all numbers are mutually prime (have no common factors).

1.) 2x + y = -9 . . . . . . multiply the original equation by -1

... 3x - 4y = -8 . . . . . . the system is independent

These two equations will give rise to a single solution.

2.) 4x + y = 4 . . . . . . divide the original equation by 3

... 4x + y = 5 . . . . . . . the system is inconsistent

These two equations describe parallel lines, so will not have a point of intersection. There are no values of x and y that can satisfy both equations.

c. 4 and 1/2 pounds is the answer! : )

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )