Question

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the smaller number. Which equations represent the situation?

Answer 1

A

Explanation:

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Answer 2

The equations represent the situation is
`y=2x+6` and
`y=5+3x`.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is x and the larger number is y.

y, is equal to twice the sum of a smaller number and 3.

This information can be written as:
`y=2(x+3)`

Which can be further solve as:

`y=2x+6`

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as:
`y=5+3x`

Thus, the equations represent the situation is
`y=2x+6` and
`y=5+3x`.

Which can be further solve as:

`2x+6=5+3x`

`x=1`

Now, substitute the value of x in
`y=5+3x`.

`y=5+3`

`y=8`