Systems of Equations, Special Case No Solution

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that there is no solution to the system of equations.


What does it mean to have no solution for a system of equations? How can you use that to help you fill in the numbers?  Are there multiple possibilities?  Is there a pattern?


Here a couple possibilities to get no solution.

system solution 5 systems solution 4

The blanks can be filled in with any of the left over numbers. 

Source: Nanette Johnson

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Square Root Expression 2

Directions: Using the digits 0 to 9 at most one time each, place a digit …


  1. What numbers would go in the boxes you left blank?

  2. You could also set this one up with fractional slopes in slope-intercept form. It lowers the challenge for the problem, but in doing so makes it more accessible.

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