alleryStart learning →Classify the equation 5m + 3(9 + 3m) = 2(7m - 11), then state the solution.
AIt is an identity; the solution is all real numbers
BIt is conditional; the solution is m = 5
CIt is a contradiction; there is no solution
DIt is conditional; the solution is m = -5
Answer & Solution
Correct answer: C. It is a contradiction; there is no solution
1. Distribute and combine on the left: 5m + 3(9 + 3m) becomes 5m + 27 + 9m, which simplifies to 14m + 27.
2. Distribute on the right: 2(7m - 11) becomes 14m - 22.
3. Subtracting 14m from both sides leaves 27 = -22, which is never true.
4. Since the two sides can never be equal, the equation is a contradiction and has no solution.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations and Inequalities", section 2.4 Use a General Strategy to Solve Linear Equations_
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