Assignment: [tex]\bold{Solve \ \left|5x\right|=70}[/tex]
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Answer: [tex]\boxed{\bold{x=-14\quad or\quad \:x=14}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Apply Absolute Rule
Note: [tex]\bold{Absolute \ Rule \ \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a}[/tex]
[tex]\bold{5x=-70\quad \mathrm{or}\quad \:5x=70}[/tex]
[tex]\bold{5x=-70: \ x \ = \ -14}[/tex]
[tex]\bold{5x=70: \ x \ = \ 14}[/tex]
[ Step Two ] Combine Solutions
[tex]\bold{x=-14\quad or \quad \:x=14}[/tex]
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[tex]\bold{\rightarrow Rhythm \ Bot \leftarrow}[/tex]
