Knock out the false claims on 0 = 0
Exercise and reference answers
- Questions
- Question
- Solving a two-rule system ends at 0 = 0. Three of these claims about that ending are false.
- Choices
- Item
- Every point on the line is a solution
- Correct
- Yes
- Explanation
- One solution needs two lines crossing at a single point, not one line twice.
- Item
- The system has exactly one solution
- Explanation
- Lines that never meet give a false statement instead, such as 9 = 13.
- Item
- The two lines never meet at all
- Explanation
- An ending like this is a real result and marks the system as dependent.
- Item
- A mistake must have been made
- Instructions
- Tap the three false claims about a system that ends at 0 equals 0 to clear them.
Explanation
_Source: OpenStax College Algebra (CC BY 4.0), Ch 7 "Systems of Equations and Inequalities", section 7.1 Systems of Linear Equations: Two Variables_