Solving Equations In Two Variables

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so x = y.


What needs to happen for us to get to x = y in the last step?


There are many possible solutions including:

9.7x + 4.2y = 8.6x + 5.3y
1.2x + 8.9y = 3.4x + 6.7y
6.8x + 1.3y = 5.7x + 2.4y

Source: Arnav Gulati and Daniel Luevanos

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Linear and Quadratic System

Directions: Directions: Using the integers from −9 to 9 at most once each, place one …


  1. 9.7x + 4.2y = 8.6x + 5.3y

  2. 3.7x + 8.7y = 5.1x + 3.9y

  3. Yes, I agree with all of your answers David.

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