alleryStart learning →What counts as the solution to a system of two linear rules in two unknowns?
AAny value of x that makes the first rule true
BAny pair of values that fits either rule alone
CThe point where each line meets the sideways axis
DA pair of values that fits both rules at once
Answer & Solution
Correct answer: D. A pair of values that fits both rules at once
1. A system in two unknowns needs a value for each unknown, so a solution is a pair rather than a single number.
2. That pair has to satisfy each rule on its own, not just one of them.
3. Option B drops the word both, which is the whole point of a system.
4. So the solution is a pair of values that fits both rules at once, option D.
_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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