Question
Give me 10 linear equations with infinite solutions
Answers
GPT-4o mini
Linear equations that have infinite solutions usually represent the same line in a two-dimensional space. This means they can be derived from each other through multiplication or addition of terms. Here are 10 examples of linear equations that have infinite solutions:
1. \( 2x + 4y = 8 \)
2. \( x + 2y = 4 \)
3. \( -3x - 6y = -12 \)
4. \( 4x + 8y = 16 \)
5. \( \frac{1}{2}x + y = 2 \)
6. \( 5x + 10y = 20 \)
7. \( 10x + 20y = 40 \)
8. \( 3x + 6y = 12 \)
9. \( -x - 2y = -4 \)
10. \( 7x + 14y = 28 \)
All of these equations represent the same line or can be transformed into another, showing that they have infinite solutions.
1. \( 2x + 4y = 8 \)
2. \( x + 2y = 4 \)
3. \( -3x - 6y = -12 \)
4. \( 4x + 8y = 16 \)
5. \( \frac{1}{2}x + y = 2 \)
6. \( 5x + 10y = 20 \)
7. \( 10x + 20y = 40 \)
8. \( 3x + 6y = 12 \)
9. \( -x - 2y = -4 \)
10. \( 7x + 14y = 28 \)
All of these equations represent the same line or can be transformed into another, showing that they have infinite solutions.