A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is graphed on the coordinate plane below, where x represents the smaller number and y represents the larger number.

Which two equations represent the situation?

1. You have that:

- "x" represents the smaller number and "y" represents the larger number.

- A number is equal to 3 times a smaller number: y=3x

- The sum of the smaller number and 4 is the larger number: y=x+4

2. Therefore, you have the following system of equations:

y=3x (i)

y=x+4 (ii)

3. When you solve it, you obtain:

3x=x+4

3x-x=4

2x=4

x=2

y=3x

y = (3) (2)

y=6

4. Which two equations represent the situation? The answer is:

y=3x

y=x+4