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mel-nik [20]
3 years ago
14

Please help need an explanation Solve |3 - x| = 8

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0
<span><span>|3−x|</span>=8 

</span><span><span>|<span>−x+3</span>|</span>=8</span>Solve Absolute Value.<span><span>|<span>−x+3</span>|</span>=8

</span>We know either   <span><span>−x+3</span>=8 </span>or<span><span>−x+3</span>=−8</span><span><span>−x+3</span>=8    </span>(Possibility 1)   <span><span><span>−x+3</span>−3</span>=8−3                      </span>(Subtract 3 from both sides)<span>−x=5</span>−x−1=5−1  <span>

</span><span><span>        </span></span>(Divide both sides by -1)   <span>x=−5</span><span><span>−x+3</span>=−8   </span>(Possibility 2)   <span><span><span>−x+3</span>−3</span>=<span>−8−3     </span></span>(Subtract 3 from both sides)   <span>−x=−11</span><span><span>−x−1</span>=<span>−11−1                                                          </span></span>(Divide both sides by -1)x=11Answer:<span><span>x=<span>−<span><span>5 or </span>x</span></span></span>=<span>11

(math papa) </span></span>
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