6 cd+2b+9(cd+b/3)=A(3cd+b)

I'm really sorry this question seems really hard to me. But what I got as an answer is 6, ohh and I have another question. Can you use the distributive property on this problem? (Argh our class is getting ready for the PSAT!) And show me the work, I want to know if I got something wrong in my work lol sorry

hummm 6+9 IS NOT 18 BUT 15

6 c d + 2 b + 9 c d + 3 b = A(3cd+b)

15 c d + 5 b = A(3cd+b)

5 (3cd+b) = A(3cd+b)

A = 5

On the last thing which is 5 (3cd+b) = A(3cd+b), how did you get 5 as an answer? Can you teach me step by step? Sorry omg I'm so confused

Did you divide something to get 5? But I don't see any division signs anywhere

I still don't get it... Sorry... Or did you cross both (3cd+b)'s and got your answer?

5 (3cd+b) = A(3cd+b)

A = 5
Math - Hatsune Miku, Sunday, April 30, 2017 at 10:58am

On the last thing which is 5 (3cd+b) = A(3cd+b), how did you get 5 as an answer? Can you teach me step by step? Sorry omg I'm so confused
Math - Hatsune Miku, Sunday, April 30, 2017 at 11:00am

Did you divide something to get 5? But I don't see any division signs anywhere

If 5 (3cd+b) = A(3cd+b)
divide both sides by (3cd+b)
then
A=5

divide both sides of

5 (3cd+b) = A(3cd+b)
by
(3cd+b)

No problem! I can help you with this problem and show you how to use the distributive property.

Let's simplify the equation step by step:

Given equation: 6cd + 2b + 9(cd + b/3) = A(3cd + b)

To use the distributive property, we distribute each term inside the parentheses to every term outside the parentheses:

6cd + 2b + 9cd + 9(b/3) = 3Acd + Ab

Now, let's simplify further:

Combining like terms:
(6cd + 9cd) + 2b + (9b/3) = 3Acd + Ab

15cd + 2b + 3b = 3Acd + Ab

Simplifying the coefficients:
15cd + 5b = 3Acd + Ab

Now we have simplified the equation using the distributive property. From here, we can rearrange the equation or perform any necessary algebraic operations to solve for the variables.

Regarding your other question about the value you obtained, 6, it seems like you may have made a mistake. The simplified equation does not result in a single value like 6. You would need more information or additional equations to solve for specific values of the variables.

Remember to double-check your work and try solving the equation again following the steps I provided. Good luck with your preparations for the PSAT!