Answer:
The equations represent the situation is [tex]y=2x+6[/tex] and [tex]y=5+3x[/tex].
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: [tex]y=2(x+3)[/tex]
Which can be further solve as:
[tex]y=2x+6[/tex]
The larger number is also equal to 5 more than 3 times the smaller number.
This information can be written as: [tex]y=5+3x[/tex]
Thus, the equations represent the situation is [tex]y=2x+6[/tex] and [tex]y=5+3x[/tex].
Which can be further solve as:
[tex]2x+6=5+3x[/tex]
[tex]x=1[/tex]
Now, substitute the value of x in [tex]y=5+3x[/tex].
[tex]y=5+3[/tex]
[tex]y=8[/tex]
