Question

A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.

y = 3x - 2
3x - y = 3
3x - y = -2
y = 2 - 3x
y=2(x + 3)

Answer 1

Therefore the required Equations are

`y =2(x+3)\ \textrm{is the required expression for First condition.}\\y = 3x-2\ \textrm{is the required expression for Second condition.}`

Explanation:

Given:

'y' represents the larger number and

'x' represents the smaller number

Then, a larger number is double the sum of 3 and a smaller number will be

Larger no = double of ( 3 and smaller number)

∴
`y=2(x+3)\ \textrm{is the required expression for First condition.}`

Now,

The larger number is 2 less than 3 times the smaller number.

Larger number = 3 times smaller number and 2 less

∴
`y=3x-2\ \textrm{is the required expression for Second condition.}`

Therefore the required Equations are

`y =2(x+3)\ \textrm{is the required expression for First condition.}\\y = 3x-2\ \textrm{is the required expression for Second condition.}`