Solve the system by substitution y=6x and 7x-8y=-41

Y=6 and x=1

Step-by-step explanation:

y=6x

∴y-6x=0

and 7x-8y=-41

Suppose,

-6x+y=0→(1)

and 7x-8y=-41→(2)

Taking equation (1), we have

-6x+y=0

⇒y=6x→(3)

Putting y=6x in equation (2), we get

7x-8y=-41

7x-8(6x)=-41

⇒7x-48x=-41

⇒-41x=-41

⇒x=1→(4)

Now, Putting x=1 in equation (3), we get

y=6x

⇒y=6(1)

⇒y=6

∴y=6 and x=1

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.

pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation: