Question

Alex's bank account is y=5x+10

and lauren's bank account in y=2x-10.
in how many weeks will they have the same amount of money?
how much money will they both have at that time?

Answer 1

Explanation:

y = -10x + 60

y = 5x + 10

5x + 10 = -10x + 60

5x + 10x = 60 - 10

15x = 50

x = 50/15 = 3 1/3 weeks <==== they will be the same in 3 1/3 weeks

y = 5x + 10 y = -10x + 60

y = 5(10/3) + 10 y = -10(10/3) + 60

y = 50/3 + 10 y = -100/3 + 60

y = 50/3 + 30/3 y = -100/3 + 180/3

y = 80/3 = 26.67 y = 80/3 = 26.67

at that time, they will both have $ 26.67 <==