Wright Weston
05/06/2023 · Senior High School
Classify the equation as a conditional equation, an identity, or a contradiction. \[ -6 x-5+9 x=3 x-5+3 \] select the correct answer below: conditional equation identity contradiction
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( -6x-5+9x=3x-5+3 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(-6x-5+9x=3x-5+3\)
- step1: Cancel equal terms:
\(-6x+9x=3x+3\)
- step2: Add the terms:
\(3x=3x+3\)
- step3: Cancel equal terms:
\(0=3\)
- step4: The statement is false:
\(x \in \varnothing \)
The solution to the equation \(-6x-5+9x=3x-5+3\) is \(x \in \varnothing\), which means there is no solution to this equation. Therefore, the equation is a contradiction.
Quick Answer
The equation is a contradiction.
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