Question

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

Answer 1

Answer:

$x=-14\:or\:x=14$

Step-by-step explanation:

The given equation is

$|5x|=70$

This implies that;

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

Solve for x to obtain;

$x=\frac{70}{5}\:or\:x=\frac{70}{-5}$

$x=14\:or\:x=-14$

Answer 2

Assignment: $\bold{Solve \ \left|5x\right|=70}$

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