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

3 answers

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
3x+y=10
y=x-2
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