1. ## Linear Equations Mystery?

Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.

2. Originally Posted by mcinnes
Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.
Systems of linear equations that graph parallel lines have no solution. They are called inconsistent systems.

Example:

$x+y=5$

$2x+2y=7$

Same slopes. Different y-intercepts. Parallel lines.

3. Originally Posted by mcinnes
Not all systems of linear equations have a solution. Give an example of a system of linear equations that has no ordered pair satisfying it. Explain your answer.
Here's my hint:

We don't have a solution to a linear system of equations if there are two lines that are parallel...

Can you try to come up with a system of equations now?

--Chris