Glencoe Math: Course 2, Volume 2
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Glencoe Math: Course 2, Volume 2 View details
7. Subtract Linear Expressions
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Exercise 22 Page 409

To find the additive inverse of a linear expression, you can multiply each term of the expression by -1.

0.8x +0.6

Practice makes perfect
First, let's find the additive inverse of the linear expression within the second set of parentheses. To do so, we can distribute -1 into the second set of parentheses. When we do so, we multiply each term of that linear expression by -1.
(5.7x-0.8)-(4.9x-1.4)
(5.7x-0.8)+( (-1) * 4.9x- (-1) * 1.4)
(5.7x-0.8)+( - 4.9x- (-1.4))
(5.7x-0.8)+( - 4.9 x+ 1.4)
Now, let's identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable — can be combined.

( 5.7x - 0.8)+( - 4.9 x+ 1.4) In this case, we have two x-terms and two constants. Let's arrange the like terms in columns. Then, let's perform the addition. 5.7 x -0.8& (+) -4.9 x +1.4& 0.8 x +0.6& Therefore, we get the following result. (5.7x-0.8)-(4.9x-1.4) = 0.8x +0.6