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For the system 3x + 8y = 40 and 7x - 4y = -32, which method is more convenient, and why?
ASubstitution, since one equation is already solved for y
BElimination, since both equations are already in standard form
CGraphing, since the coefficients are all quite small
DElimination, since one variable has a coefficient of 1
Answer & Solution
Correct answer: B. Elimination, since both equations are already in standard form
1. Both equations are already written in standard form, with neither one solved for x or y.
2. When both equations are in standard form like this, elimination is the more convenient method to use.
3. Substitution would first require solving one equation for a variable, an extra step this system does not need, and no coefficient here is conveniently equal to 1.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 5 "Systems of Linear Equations", section 5.3 Solve Systems of Equations by Elimination_
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