Question

Help me I need this due by today, oh and I will be posting more and would love a explain on this

Answer 1

for the first expression you multiply 6 to both numbers in the parentheses.

6(3x+ 5y)
18x + 5y

Since they have different variables ( x and y) you can’t simply this further.

The next expression:

4x + 6x + 15y + 2(4x + 2y) + 11y

First you multiply 2 to both numbers in the parentheses, like how we did in the first expression.

That becomes 8x + 4y

Now we can add all like terms. We add all the numbers with an x variable together and all the numbers with a y variable.

10x + 26y + 8x + 4y

Simplified it becomes

18x + 30y

Therefore the expressions are not equivalent.

Answer 2

Yes

Explanation:

For the first equation all we need to do is distribute 6 to 3x and 5y. 6*3x = 18x and 6*5y = 30y. For the first equation, it will be: 18x + 30y.

The next equation seems hard but it's simple. First you can easily add, 4x and 6x. That will equal 10x. Then from there distribute 2 to 4x and 2y, so do the same thing as before. 2*4x = 8x and 2*2y = 4y. So now our equation looks like this: 10x + 15y + 8x + 4y + 11y. Now all you need to do is add the x's together and the y's together. 10x + 8x = 18x and 15y + 4y + 11y = 30y. Now we have 18x + 30y. Looks the same, and that is true.

Both equations equal 18x + 30y, so therefore the answer is yes or true.