Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000(0.98)X represents the amount remaining, y, of one
account that was left inactive for a period of x years. What does the number 5000
represent in this situation?
A fee charged for
an inactive account
The percent of
money in the
account after x
years
The amount of
money in the
account initially
The amount of
money in the
account after x
years

2a - 5b = 1
3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

    2a - 5b = 1
   3a + 5b = 14
+
    5a - 0 = 15
         5a = 15
           a = 3

Next, plug 3 for a into either of the equations and solve for b.

  2a - 5b = 1
2(3) - 5b = 1
    6 - 5b = 1
       - 5b = -5
           b = 1

Lastly, check all work by plugging both values for their respective variables.

     2a - 5b = 1
2(3) - 5(1) = 1
         6 - 5 = 1  --  This is true

     3a + 5b = 14
3(3) + 5(1) = 14
         9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).