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Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

User Darf
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1 Answer

9 votes

Answer:

**The equation is not clear, so I have provided both options**

Option 1


\left|0.3-(3)/(5)k\right|-0.4=1.2


\implies \left|0.3-(3)/(5)k\right|=1.6

Solution 1


\implies 0.3-(3)/(5)k=1.6


\implies -(3)/(5)k=1.3


\implies k=-(13)/(6)

Solution 2


\implies -(0.3-(3)/(5)k)=1.6


\implies -0.3+(3)/(5)k=1.6


\implies (3)/(5)k=1.9


\implies k=(19)/(6)

Option 2


\left|0.3-(3)/(5k)\right|-0.4=1.2


\implies \left|0.3-(3)/(5k)\right|=1.6

Solution 1


\implies 0.3-(3)/(5k)=1.6


\implies -(3)/(5k)=1.3


\implies -3=6.5k


\implies k=-(6)/(13)

Solution 2


\implies -(0.3-(3)/(5k))=1.6


\implies -0.3+(3)/(5k)=1.6


\implies (3)/(5k)=1.9


\implies 3=9.5k


\implies k=(6)/(19)

User Bianka
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