Open Middle®
Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that there is no solution to the system of equations.
Hint
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?
Are there multiple possibilities?
Is there a pattern?
Answer
Here a couple possibilities to get no solution.
The blanks can be filled in with any of the left over numbers.
Source: Nanette Johnson
What numbers would go in the boxes you left blank?
Any of the numbers that are left. For the first two, you could use 3 and 7
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.