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?
Question
Answer:
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
solved
general
10 months ago
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