Question

It cost $.06 per local call and $0.15 per international call you are charged $69.84 and your calls add up to 852 minutes write and solve a system of linear equations

Answer 1

Answer: the number of minutes of local calls that you made is 644

the number of minutes of international calls that you made is 208

Step-by-step explanation:

Let x represent the number of minutes of local calls that you made.

Let y represent the number of minutes of international calls that you made.

It cost $.06 per local call and $0.15 per international call you are charged $69.84. This means that

0.06x + 0.15y = 69.84 - - - - - - - - 1

The total number of calls add up to 852 minutes. This means that

x + y = 852

Substituting x = 852 - y into equation 1, it becomes

0.06(852 - y) + 0.15y = 69.84

51.12 - 0.06y + 0.15y = 69.84

- 0.06y + 0.15y = 69.84 - 51.12

0.09y = 18.72

y = 18.72/0.09 = 208

x = 852 - y = 852 - 208

x = 644