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Solving an equation leaves the statement negative 15 equal to negative 20. What kind of equation is it?
AAn identity equation
BAn inconsistent equation
CA conditional equation
DA rational equation
Answer & Solution
Correct answer: B. An inconsistent equation
1. Both variable terms have cancelled, leaving only numbers.
2. The numbers left behind are not equal, so the statement is false.
3. A false statement means no value of the variable can work, so the equation is inconsistent.
4. An identity would instead leave a true statement such as negative 15 equal to negative 15.
_Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_
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