Question

You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.

Answer 1

Answer: 15 + 5x = 25 + 5x. You will never have the same amount of savings as your friend.

Explanation:
1. Set up two equations equal to one another like 15 + 5x = 25 + 5x to find out if you'll have the same savings as your friend.

2. Subtract 15 on both sides to get 5x by itself. This should leave you with 5x = 10 + 5x.

3. Subtract 5x on both sides to get 10 by itself. This should leave you with 0x = 10. This means that you'll never have the same amount of money because the x's cancel each other out.