## anonymous one year ago What is the value of y? 6(5 + 3) = 6 • 5 + 6 • y

1. anonymous

i get 1 1/3 but is there another answer that i can not find???

2. anonymous

@Peaches15 @nincompoop

3. anonymous

if anyone dose not know then do you now anyone who can help???

4. anonymous

@Michele_Laino

5. Michele_Laino

here we can to compute the left side as below: 6(5+3)=6*5+6*3=...?

6. Michele_Laino

I got a different solution.

7. anonymous

what would that be and just to let you now my computer is acting up on me

8. 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

9. 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.

10. anonymous

i so far got 18=6y is that correct @Michele_Laino

11. 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?

12. anonymous

so 3=y

13. Michele_Laino

yes! now, please I divide both sides by 6, so I get: $\Large \frac{{18}}{6} = \frac{{6y}}{6}$ again, please simplify

14. anonymous

so 3=y

15. Michele_Laino

correct!

16. anonymous

thanks

17. Michele_Laino

:)