Linear System of Equations

(Standard Form)

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Questions:

1. Move the sliders so that a = 3, b = 2, c = -4, d = -4, e = 1, and f = 9. Record the related equations, and the solution to the system.

2. Leave all the sliders as in #1, but change c to c = 7. Record the solution to the system.

3. Move the sliders so that the lines are parallel. Record the values that you used for a – f. What happens to the point of intersection and the solution?

4. Move the sliders so that the lines intersect at the point (5, 2). Record the values that you used for a – f.

Ward Roberts, Created with GeoGebra