Use the base example of two people walking to describe a system of two linear equation has i.) 0 solution 2) 1 solution 3) an infinite solution

Respuesta :

The system has:

  • No solutions for two parallel lines.
  • 1 solution for two nonparallel lines.
  • Infinite solutions for two equations that describe the same line.

How to identify the number of solutions for the systems?

A system of two linear equations is given by:

y = a*x + b

y = c*x + d

1) The system has no solutions when both lines are parallel lines, this happens when both lines have the same slope and different y-intercept.

y = a*x + b

y = a*x + d

2) The system has one solution when the lines have different slopes:

y = a*x + b

y = c*x + d

3) The system has infinite solutions when both equations describe the same line:

y = a*x + b

y = a*x + b

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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