A phone company charges $0.06 per minute for local calls and $0.15 per minute for international calls. When your bill comes, it states that you accumulated 852 minutes with a charge of $69.84. Write and solve a system of linear equations to find the number of local and international minutes used

Let's assume two variables x and y which represent the local and international calls respectively.

x + y = 852 = total number of minutes which were consumed by the company (equation 1)

0.06*x + 0.15 y = 69.84 = total price which was charged for the phone calls (Equation 2)

from equation 1:-

x=852 - y (sub in equation 2)

0.06 (852 - y) + 0.15 y = 69.84

51.12 - 0.06 y + 0.15 y = 69.84 (subtracting both sides by 51.12)

0.09 y = 18.74

y = 208 minutes = international minutes (sub in 1)

208+x=852 (By subtracting both sides by 208)

x = 852-208 = 644 minutes = local minutes