algebra 1 solving systems

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

Let x = the number of weeks

Your savings: y = 15 + 5x

Friend's savings: y = 25 + 5x

25 + 5x = 15 + 5x

10 = 0     No, you will never have the same amount of saving as your friend. 10 = 0 means there is no solution that will satisfy the question.