Answer:
The equations represent the situation is
and
.
Step-by-step explanation:
Consider the provided information.
First convert the statement into mathematical representation.
Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.
<em>y</em>, is equal to twice the sum of a smaller number and 3.
This information can be written as: ![y=2(x+3)](https://tex.z-dn.net/?f=y%3D2%28x%2B3%29)
Which can be further solve as:
![y=2x+6](https://tex.z-dn.net/?f=y%3D2x%2B6)
The larger number is also equal to 5 more than 3 times the smaller number.
This information can be written as: ![y=5+3x](https://tex.z-dn.net/?f=y%3D5%2B3x)
Thus, the equations represent the situation is
and
.
Which can be further solve as:
![2x+6=5+3x](https://tex.z-dn.net/?f=2x%2B6%3D5%2B3x)
![x=1](https://tex.z-dn.net/?f=x%3D1)
Now, substitute the value of <em>x</em> in
.
![y=5+3](https://tex.z-dn.net/?f=y%3D5%2B3)
![y=8](https://tex.z-dn.net/?f=y%3D8)