Open Question
What is a conditional equation? Give an example.
1. Equations & Inequalities
Linear Equations
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Solve the equation. Then state whether it is an identity, conditional, or inconsistent equation.
A
Identity
B
Conditional
C
Inconsistent
Verified step by step guidance1
Start by rewriting the given equation: \( \frac{x}{4} + \frac{1}{6} = \frac{x}{3} \).
To eliminate the fractions, find the least common denominator (LCD) of the fractions, which is 12.
Multiply every term in the equation by 12 to clear the fractions: \( 12 \times \frac{x}{4} + 12 \times \frac{1}{6} = 12 \times \frac{x}{3} \).
Simplify each term: \( 3x + 2 = 4x \).
Rearrange the equation to isolate \( x \) on one side: Subtract \( 3x \) from both sides to get \( 2 = x \). This shows the equation is conditional, as it holds true for a specific value of \( x \).
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