Solve for y:

-x -2y + z = 3

2x + 4y – 2z = 1

3x + 4y -7z = 0

a. dependent

b. 12/5

c. inconsistent

d. -5/12

  c.  Inconsistent

Step-by-step explanation:

Multiply the first equation by -2:

  2x +4y -2z = -6

Compare this to the second equation:

  2x +4y -2z = 1

There are no values of x, y, and z that can satisfy both of these equations. The system is inconsistent.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.