simplify the algebraic expression x+(-8y)+(-5)+15y=?

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22-08-2018
Mathematics

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simplify the algebraic expression x+(-8y)+(-5)+15y=?

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katie6wpg katie6wpg · Answer 1 · 2018-08-22T22:48:58+02:00

To solve this problem, we must keep in mind that adding a negative number and subtracting a positive number are the same thing (both include a positive and a negative sign). Using this knowledge, we can begin to simplify the above expression:

x + (-8y) + (-5) + 15y

x - 8y - 5 + 15y

Now, we must combine like terms. This means that we must add/subtract the constant terms and the terms of the same variable. Because there are two terms with the variable y, we should add those together to simplify the expression.

x - 8y - 5 + 15y

x + 7y - 5

Therefore, your answer is x + 7y - 5 (keep in mind that the terms can be rearranged into any order as long as you keep the signs so that the terms have the same value).

Hope this helps!