The reduced row-echelon form of the augmented matirx of a system of equations is given. find the solution of the system.

option C)

(19,2,5)

Step-by-step explanation:

| 4 | x

| 12 | y

| 5 | z

After reducing the matrix in row-echelon form we are left with three equation as following

Equation 1

0x + 0y + 1z = 5

Equation 2

0x + y1 + 2z = 12

Equation 3

1x + 0y -3z = 4

As in first equation

0 + 0 + z = 5

z = 5

Put this value of z in equation 2 and 3

y + 2(5) = 12

y + 10 =12

y = 12 - 10

y = 2

x + 0 -3(5) = 4

x - 15 = 4

x = 4 + 15

x = 19

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.

is there supposed to be a diagram or a graph for this one? ?

step-by-step explanation: