Question

What is the solution of |5x| = 70?

x = –14 or x = 14
no solution
x = –75 or x = 65
x = –70 or x = 70

Answer 1

Assignment:
`\bold=70`

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Answer:
`\boxed{\bold{x=-14\quad or\quad \:x=14}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Apply Absolute Rule

Note:
`\bold{Absolute \ Rule \ \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a}`

`\bold{5x=-70\quad \mathrm{or}\quad \:5x=70}`

`\bold{5x=-70: \ x \ = \ -14}`

`\bold{5x=70: \ x \ = \ 14}`

[ Step Two ] Combine Solutions

`\bold{x=-14\quad or \quad \:x=14}`

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`\bold{\rightarrow Rhythm \ Bot \leftarrow}`

Answer 2

`x=-14\:or\:x=14`

Explanation:

The given equation is

`|5x|=70`

This implies that;

`5x=70\:or\:-5x=70`

Solve for x to obtain;

`x=(70)/(5)\:or\:x=(70)/(-5)`

`x=14\:or\:x=-14`