Question

Here is an equation that represents a function: 72x+12y=60 Select all the different equations that describe the same function:

Answer 1

Explanation:

Given question is incomplete; here is the complete question,

Here is an equation that represents a function: 72x + 12y = 60.

Select all the different equations that describe the same function.

A). 120y + 720x = 600

B). y = 5 - 6x

C). 2y + 12x = 10

D). y = 5 + 6x

E).
`x=(5)/(6)-(1)/(6)y`

F). 7x + 2y = 6

G).
`x=(5)/(6)+(y)/(6)`

Option A.

720x + 120y = 600

`(1)/(10)(720x+120y)=(1)/(10)(600)`

72x + 12y = 60

True.

Option B.

y = 5 - 6x

6x + y = 5

12(6x + y) = 12(5)

72x + 12y = 60

True

Option C.

2y = 12x + 10

-12x + 2y = 10

-6(-12x + 2y) = -6(10)

72x - 12y = -60

False

Option D.

y = 5 + 6x

-6x + y = 5

-12(-6x + y) = -12(5)

72x - 12y = -60

False.

Option E.

`x=(5)/(6)-(1)/(6)y`

`72x=72((5)/(6)-(1)/(6)y)`

72x = 60 - 12y

72x + 12y = 60

True.

Option F.

7x + 2y = 6

6(7x + 2y) = 6(6)

42x + 12y = 36

False

Option G

`x=(5)/(6)+(1)/(6)y`

`72x=72((5)/(6)+(1)/(6)y)`

72x = 60 + 12y

72x - 12y = 60

False

Options A, B and E are the correct options.