anonymous
  • anonymous
What is the value of y? 6(5 + 3) = 6 • 5 + 6 • y
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i get 1 1/3 but is there another answer that i can not find???
anonymous
  • anonymous
anonymous
  • anonymous
if anyone dose not know then do you now anyone who can help???

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anonymous
  • anonymous
Michele_Laino
  • Michele_Laino
here we can to compute the left side as below: 6(5+3)=6*5+6*3=...?
Michele_Laino
  • Michele_Laino
I got a different solution.
anonymous
  • anonymous
what would that be and just to let you now my computer is acting up on me
Michele_Laino
  • Michele_Laino
hint: if I simplify the left side, I get: \[\Large 30 + 18 = 30 + 6y\] now I subtract at both sides 30, so I can write this: \[\Large 30 + 18 - 30 = 30 + 6y - 30\] please simplify
mathstudent55
  • mathstudent55
This problem is an exercise on the distributive property. \(\Large a(b + c) = ab + ac\) Here is an example with numbers: \(\Large 3(4 + 7) = 3 \cdot 4 + 3 \cdot 7\) You take the number outside the parentheses, and you multiply it by both numbers inside the parentheses. You separate the two multiplications by the same operation that is inside the parentheses.
anonymous
  • anonymous
i so far got 18=6y is that correct @Michele_Laino
mathstudent55
  • mathstudent55
Now let's look at your problem: \(\Large 6(5 + 3)\) Let's apply the distributive property to it: \(\Large 6(5 + 3) = 6 \cdot 5 + 6 \cdot \_\_\) What goes in the blank?
anonymous
  • anonymous
so 3=y
Michele_Laino
  • Michele_Laino
yes! now, please I divide both sides by 6, so I get: \[\Large \frac{{18}}{6} = \frac{{6y}}{6}\] again, please simplify
anonymous
  • anonymous
so 3=y
Michele_Laino
  • Michele_Laino
correct!
anonymous
  • anonymous
thanks
Michele_Laino
  • Michele_Laino
:)

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