Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms.

Artkoenig asked Jan 26, 2023

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33 votes

$Solve the following absolute value equation. If needed, write your answer as a fraction-example-1$

Artkoenig asked Jan 26, 2023

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26 votes

Equation

$\lvert-7y+4\rvert+8=1$

Isolate the absolute value

$\begin{gathered} \lvert-7y+4\rvert+8=1 \\ \lvert-7y+4\rvert=1-8 \\ \lvert-7y+4\rvert=-7 \end{gathered}$

Answer: No solution (∅) (absolute value cannot be less than 0).

Cactustictacs answered Jan 31, 2023

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