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Im having trouble solving this absolute value equation. can someone help me out? −2∣5w−7∣+9=−7

Im having trouble solving this absolute value equation. can someone help me out? −2∣5w−7∣+9=−7
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5 votes
Im having trouble solving this absolute value equation. can someone help me out? −2∣5w−7∣+9=−7

User OlehZiniak
by
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2 Answers

5 votes

-2\big|5w-7\big|+9=-7\quad|-9\\\\-2\big|5w-7\big|=-7-9\\\\-2\big|5w-7\big|=-16\quad|:(-2)\\\\\big|5w-7\big|=8

so


5w-7=8\qquad\vee\qquad5w-7=-8\\\\ 5w-7=8\quad|+7\qquad\vee\qquad5w-7=-8\quad|+7\\\\ 5w=8+7\qquad\vee\qquad5w=-8+7\\\\ 5w=15\quad|:5\qquad\vee\qquad5w=-1\quad|:5\\\\ \boxed{w=3\qquad\vee\qquad w=-(1)/(5)}
User OnCreate
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User Ddcruver
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