System of Equations, Special Case Infinitely Many Solutions

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that there are infinitely many solutions to the system of equations.



What makes a solution have infinitely many solutions?  How can you use that to start filling in the boxes?  Are there multiple possibilities?


Here is one of many possibilities:

system solution 3

Both linear equations must be multiples of one another.

Source: Nanette Johnson

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