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One rule in a system contains the fractions x over 3 and y over 6. What is the tidiest first move before solving?
ARound every fraction to the nearest whole
BDrop the fractions and keep only the tops
CMultiply the whole rule through by 6
DDivide the whole rule through by 6
Answer & Solution
Correct answer: C. Multiply the whole rule through by 6
1. Fractions make the later steps harder, so clearing them first is worth doing.
2. The bottoms of the two fractions are 3 and 6, and the smallest number both divide into is 6.
3. Multiplying every term of the rule by 6 turns x over 3 into 2x and y over 6 into y.
4. Both sides must be multiplied, or the rule is changed rather than tidied.
5. Option A throws away accuracy, and rounding a fraction changes the answer.
_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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