Answer:
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 \(y=5+3x\).
\(y=5+3\)
\(y=8\)
