Expanding and simplifying brackets

AI Thread Summary
The discussion revolves around expanding and simplifying algebraic expressions. A user initially expanded and simplified the expression 1/8(6x - 12y) + 1/2(3x + 2y) and arrived at 2.25x - 0.5y, but noted a discrepancy with the book's answer of 2.25x - 2.5y. Another user encountered a similar issue with the expression 1/5(15x + 10y) + 3/10(5x - 5y), yielding 4.5x + 0.5y, while the book claimed it should be 4.5x - 0.5y. Both users confirmed their calculations were correct, suggesting potential errors in the book's answers. The conversation highlights the importance of verifying problem statements and answers in educational materials.
Gringo123
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Could someone please expain where I went wrong with this?

expand and simplify the following:
1/8(6x - 12y) + 1/2(3x + 2y)

I expanded the brackets like this:
0.75x - 1.5y + 1.5x + y

and simplified like this:
2.25x - 0.5y

But the right answer is: 2.25x - 2.5y
 
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Your answer is correct for the problem you showed. Are you sure you copied the problem correctly? If so, the "right" answer is wrong.
 
Thanks Mark.
There must have been a misprint on the answer page of my book.
I have the same problem with this one.

1/5(15x + 10y) + 3/10(5x - 5y)

My answer is: 4.5x + 0.5y

The book says it should be: 4.5x -0.5y

Have I made a mistake or is the book wrong again?
Thanks once again for your help.
 
Assuming you have written the problem as it appears in the book, your answer is correct.
 
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