Home › EQAO Grade 9 Math › Mathematics › Systems of Linear Equations in Two Variables › What counts as the solution to a system of two l…
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_
Related questions
Solve this system by adding the rules: 4x + y = 19 and 4x - 3y = 7.One rule of a system reads 2x + 6y = 10 and the other reads x + 3y = 5. What kind of systeCan a system of two linear rules in two unknowns have exactly two solutions?How many rules are needed at the very least before a system in two unknowns can have a sinA pair of values has been worked out for a system. What is the safest way to be sure it isOne rule in a system contains the fractions x over 3 and y over 6. What is the tidiest firIn the system 2x + 3y = 12 and 5x + 4y = 23, which pair of multipliers clears x when the tIn the system x + 3y = 11 and 2x - y = 8, by what number should the first rule be multipli