Is the system of equations is consistent, consistent and coincident, or inconsistent? y=4x−4 y=−4x+4 select the correct answer from the drop-down menu.

If a system has exactly one or infinite number of solutions then it will be a consistent system.

So, we can solve the given system of equation to get the answer.

y=4x−4 ................(1)

y=−4x+4...............(2)

After equating both the equations we will get,

4x-4= -4x+4

4x-4+4x=4 (Adding 4x to each sides).

8x-4=4

8x=4+4 (Adding 4 to each sides).

8x=8

8x/8=8/8 ( Dividing each sides by 8).

x=1

Now pluging x=1 in equation (1). So,

y=4x−4

=4(1)-4

=4-4

=0

Hence the solution of the given system is (1, 0) which also means that the two equations is intersecting at a point(1,0).

So, the given system is consistent and coincident.

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.

the answer to this question is 3/19

step-by-step explanation: