datacamp-logo

Understanding a Linear System's Three Outcomes

In two dimensions, the solution structure of a system of two equations in two unknowns can be understood in a straightforward way via pictures, with the two equations representing lines (this is why it's called linear algebra) in the \(x\)-\(y\) (or \(x1\) - \(x2\)) plane. A solution is any point \((x,y)\) (\((x1, x2)\)) where the two lines intersect.

Which of the following three graphs is that of a linear system of two equations with two unknowns that has no solutions?

Answer the question
50 XP
Possible Answers
  • press
  • press
  • press