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Linear Equations in Two Variables

Checkpoint: the two algebra roads

Four short questions on the two methods. Each answer is marked as you choose it. Take the set again as often as you like.

For 2x + 3y = 12 and x − y = 1, what starts the substitution road?

To remove y from 3x + 2y = 370 and x + y = 140, what scaling comes first?

Two learners solve one pair by different roads. Their answers differ. What follows?

Eliminating y from a pair ends at 0 = 0. What is the verdict?

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This track

  1. 0 Start here
  2. 1 One claim with two letters
  3. 2 Checking a pair twice
  4. 3 All the pairs make a line
  5. 4 Two lines and one shared spot
  6. 5 The three things two lines can do
  7. 6 Checkpoint: claims, pairs and lines
  8. 7 The substitution walk
  9. 8 Scale the equations, then take one away
  10. 9 Both roads, one answer
  11. 10 What falls out when nothing is left
  12. 11 Checkpoint: the two algebra roads
  13. 12 The big picture
  14. 13 Track quiz

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