Question

if x is the number of years since 2000 and y is the percent of people using travel services, the following equations represent the percent of people using travel and the percent of people using the internet to plan travel. Travel agents: y=-2x+30 Internet: y=6x+41. Estimate the year travel agents and the internet were used equally.

Answer 1

Linear equations system solutions

We know that

Travel agents percentage:

y = - 2x + 30

Internet percentage:

y = 6x + 41​

In order to estimate when both were used equally, we find x when y (travel agents percentage and internet percentage) is the same in both equations:

Then

y = - 2x + 30

y = 6x + 41​

↓

-2x + 30 = 6x + 41​

↓

30 = 6x + 41​ +2x

↓

30 - 41 = 6x + 2x

↓

-11 = 8x

↓

-11/8 = x

Then x = -11/8 ≅ - 1.4

Since x = 0 corresponds to 2000 then from -1 to 0 would correspond to 1999 and from -2 to -1 would correspond to 1998

Answer: 1998