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Step2247 [10]
3 years ago
13

Are the equations |x-3|=7 and |x|-3=7

Mathematics
1 answer:
murzikaleks [220]3 years ago
4 0

<u><em>Answer:</em></u>

<u><em>1. x=4 or x=10</em></u>

<u><em>2.  x=-10 or x=10</em></u>

<em>No equivalent</em>

<em />

Step-by-step explanation:

1. |x-3|=7 and x-3=7

<em>Absoulte rules.</em>

<em>x-3=-7 and x-3=7</em>

<em>Add 3 both sides.</em>

<em>x-3+3=-7+3</em>

<em>Simplify.</em>

<em>-7+3=-4</em>

<em>x=-4</em>

<em>x-3=7</em>

<em>Add by 3 both sides.</em>

<em>x-3+3=7+3=10</em>

<em>x=10</em>

<em>X=-4, and X=10 is the correct answer.</em>

<em>________________________________</em>

<em>2. |x|-3=7</em>

<em>Add by 3 both sides.</em>

<em>|x|-3+3=7+3</em>

<em>Simplify.</em>

<em>7+3=10</em>

<em>X=10</em>

<em>X=-10 and X=10 is the correct answer.</em>

<em>______________________________</em>

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