Open Middle®
Directions: Using the integers -9 to 9 (excluding 0) at most one time each, place an integer in each box 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
3x+7y=20
5x+8y=31