The equations represent the given situation is:
2x - y = -6
3x - y = -5
where, x is the smaller number and y is the larger number.
Let the smaller number be x.
We have been given a number, y, is equal to twice the sum of a smaller number and 3
So, we get an equation,
y = 2(x + 3)
y = 2x + 6
2x - y = -6
The larger number is also equal to 5 more than 3 times the smaller number.
So, we get an equation,
y = 5 + 3x
3x - y = -5
Therefore, the equations represent the situation:
2x - y = -6
3x - y = -5
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