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  • 02-11-2018
  • Mathematics
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Does the equation 3(x-2)=3x-2 have one solution, no solution or an infinite number of solutions?

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Аноним Аноним
  • 02-11-2018

If you expand the left hand sign, the equation becomes

[tex] 3x-6 = 3x-2 [/tex]

This means that the term [tex] 3x [/tex] cancels out, since it appears in both sides. So, we're left with

[tex] -6=-2 [/tex]

which is clearly false, i.e. it leads to an impossible equation, which thus have no solutions.

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