Open Middle®
Directions: Using the integers -9 to 9 (excluding 0) at most one time each, fill in the blanks to create two distinct perpendicular lines.
Hint
Why might we want to consider the relationship between the coefficients of x and y?
Answer
There are many solutions but not infinite
1 x + 2 y = 4
-6 x + 3 y = 5
2 x + 3 y = 9
-6 x + 4 y = 8
Any solution where the x and y coefficients swap and one is negative. Students will need to use multiples to avoid repeating values. The constant term can take any remaining value.
Source: Louise Pepper with answers from the students of Kings College Alicante, Spain
2x+6y=9
-8+4y=8
Anyone else bored with online school?
@Yeet
Yup. Although I am actually going to school… I miss my friends.
I got 2x+6y=9
-8+4y=8
1x +2y =4
3x+-6=5
2x + 6y = 9
-8x + 4y = 8
6x+3y=15
12x+6y=30