A larger number is double the sum of 3 and a Shanel num number. If y represents the larger number and x represents the smaller number, which equations model the situation?
Check all that apply.
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y = 22; x = 8

y > x

Step-by-step explanation:

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.

Let

Smaller Number = x

Larger number = y

larger number is double the sum of 3 and a Smaller number

Sum of 3 and a smaller number = 3 + x

y = 2(3 + x)

y = 6 + 2x (1)

Also

y = 3x - 2 (2)

Equate the equation of the larger number

6 + 2x = 3x - 2

6 + 2 = 3x - 2x

8 = x

x = 8

Substitute x = 8 into (1) to find y

y = 6 + 2x (1)

y = 6 + 2(8)

= 6 + 16

= 22

y = 22

y = 22; x = 8

Therefore,

y > x