Aside

How many options do I have?

Chris says the following problem has a limited number of solutions:

Directions: Fill in the empty spaces so that you create two distinct parallel lines.  You can use whole numbers 1 through 6, but can only use a number once.

___ x + ___ y = ___

___ x + ___ y = ___

How many solutions does it have?  Provide evidence for your answer.

Is there another way to represent the number of solutions for this problem?

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