Interactive applet

Systems of Linear Equations

Adjust two lines and watch their intersection — the solution of the system — move in real time.

Both exams

Hands-on lab

-8-8-7-7-6-6-5-5-4-4-3-3-2-2-1-11122334455667788(2, 4)

Slide the two lines

Solution

One solution: (2, 4). That is where f(x) = g(x).

Missions

  • Make parallel lines (no solution)
  • Make the same line (infinitely many)
  • Park the intersection near (2, 3)

0/3 complete

Guided questions

Make the lines parallel. How many solutions does the system have?

Reflection

Why is the intersection of y = f(x) and y = g(x) the solution of f(x) = g(x)?

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