Question

miguel bikes 23km per hour and starts at mile 10. gabby bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation

Answer 1

3x+y=10
y=x-2

Answer 2

Let's use the following variables:
Let x represent the time in hours.
Let y represent the distance in kilometers from their starting points.

For Miguel:
His speed is 23 km/h and he starts at mile 10. Therefore, his equation is:
y = 23x + 10

For Gabby:
Her speed is 28 km/h and she starts at mile 0. Therefore, her equation is:
y = 28x + 0

So the system of linear equations that represents this situation is:
y = 23x + 10
y = 28x + 0

Answer 3

The given system of linear equations represents the situation where Miguel bikes at a speed of 3 km/h and starts at mile 10, and Gabby bikes at a speed of 1 km/h and starts at mile 2.

The equations are:
1) 3x + y = 10
2) y = x - 2