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The two lines drawn from a system meet at exactly one point on the grid. What is the system called, and how many solutions has it?
ADependent, with infinitely many solutions
BInconsistent, with no solution at all
CIndependent, with exactly one solution
DInconsistent, with exactly one solution
Answer & Solution
Correct answer: C. Independent, with exactly one solution
1. The point where the two lines meet is the only pair of values lying on both lines.
2. One meeting point therefore gives exactly one solution.
3. A system with exactly one solution is called independent.
4. Inconsistent means the lines never meet, so options B and D do not match a crossing point.
_Source: OpenStax College Algebra (CC BY 4.0), Ch 7 "Systems of Equations and Inequalities", section 7.1 Systems of Linear Equations: Two Variables_
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