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The solution to a system works out to a value such as 11 over 2. Why is reading it off a drawn grid a poor way to find it?
AA fraction is hard to read off exactly by eye
BFractions cannot be plotted on a grid at all
CTwo lines never cross at a fractional point
DA drawn grid can only show whole line crossings
Answer & Solution
Correct answer: A. A fraction is hard to read off exactly by eye
1. Drawing works well when the crossing lands on a whole-number grid line, since the eye can read it off exactly.
2. A value such as 11 over 2 falls between two grid lines, so the reading becomes a guess.
3. Substitution or addition gives the exact value instead, which is why those methods exist.
4. Options B and C are simply untrue, since fractional points can be plotted and lines cross at them often.
5. So the trouble is the accuracy of the reading, option A.
_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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