anonymous
  • anonymous
Prove, in complete sentences, whether the left expression is equal to the right expression and discuss which property applies. 2(x − 3) <-> 2x − 6 I know that they're equal (or I think anyway), but I'm not sure what it means by what properite applies.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ivettef365
  • ivettef365
http://walnuthillseagles.com/pdfs/Mathematics-Properties.pdf
ivettef365
  • ivettef365
a(b+c) = ab+ac
anonymous
  • anonymous
3/(2x) + x/(2x - 6) = 3/(2x) + x[2(x - 3)] = [3(x - 3) + x(x)]/[2x(x - 3)] = (3x - 9 + x^2)/[2x(x - 3)] = (x^2 + 3x - 9)/[2x(x - 3)

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ivettef365
  • ivettef365
that is distributive
anonymous
  • anonymous
yea there equal
anonymous
  • anonymous
yea like ivette said, the left side you distribute, times 2 to everything.
anonymous
  • anonymous
hen they say which properties apply your suppose to put distribuive property
anonymous
  • anonymous
when*
anonymous
  • anonymous
distributive property*
anonymous
  • anonymous
you understand??
anonymous
  • anonymous
Do you want a REALLY long explanation?
anonymous
  • anonymous
this will help http://www.geteasysolution.com/2(x-3)=2x-6
anonymous
  • anonymous
Because: Solve for x: 2 (x-3) = 0 Divide both sides by a constant to simplify the equation. Divide both sides of 2 (x-3) = 0 by 2: (2 (x-3))/2 = 0/2 Any nonzero number divided by itself is one. 2/2 = 1: x-3 = 0/2 Any number times zero is zero. 0/2 = 0: x-3 = 0 Isolate terms with x to the left hand side. Add 3 to both sides: x+(3-3) = 3 Look for two terms that sum to zero. 3-3 = 0: Answer: | | x = 3 ^ That's the first equation, and this is the second equation: Solve for x: 2 (x-3) = 0 Divide both sides by a constant to simplify the equation. Divide both sides of 2 (x-3) = 0 by 2: (2 (x-3))/2 = 0/2 Any nonzero number divided by itself is one. 2/2 = 1: x-3 = 0/2 Any number times zero is zero. 0/2 = 0: x-3 = 0 Isolate terms with x to the left hand side. Add 3 to both sides: x+(3-3) = 3 Look for two terms that sum to zero. 3-3 = 0: Answer: | | x = 3 Just explain both are processed the same way, with the same solution.
anonymous
  • anonymous
omg!
anonymous
  • anonymous
Ok, thanks everyone for all of your great answers. I think I have it now. How do you think this sounds? Prove, in complete sentences, whether the left expression is equal to the right expression and discuss which property applies. 2(x − 3) <-> 2x − 6 The left expression is equal to the right expression, because 2(x - 3) = 2x - 6. Therefore, 2(x - 3) <-> 2x - 6. The distributive property applies here.
anonymous
  • anonymous
perfect
anonymous
  • anonymous
You got it :)
anonymous
  • anonymous
Okay, thanks!
anonymous
  • anonymous
Oh, one more question, 6(2r − 5) + 2r simplified would be 14 r − 30, right?
anonymous
  • anonymous
Starting Problem: 6(2r - 5) + 2r= ? Step 1: Multiply multiply the 6, 6(2r - 5) + 2r = (6 x 2r - 6 x 5) + 2r = (12r - 30) + 2r Step 2: Combine like terms = 12r - 30 + 2r = 12r +2r - 30 = 14r - 30 Solution: 14r - 30
anonymous
  • anonymous
does that help?
anonymous
  • anonymous
Yes! Thank you! :)
anonymous
  • anonymous
great

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