What is 6 + 7y plus 10?

Mathematics · College · Thu Feb 04 2021

Answered on

To solve the expression 6 + 7y + 10, you need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, 6 and 10 are like terms because they are both constants without any variables attached.

First, you add the constants together: 6 + 10 = 16

Now your expression has simplified to: 16 + 7y

There are no other like terms to combine, so this is the simplest form of the expression. Thus, the answer is 16 + 7y.

Extra: In algebra, combining like terms is an important concept because it simplifies expressions and makes it easier to work with them. Like terms can include constants (numbers without variables), variables of the same power (like x, y, z), or variables that are multiplied by a constant (like 3x, 5y, etc.). Terms that are not like each other cannot be combined directly. For instance, in the expression 3x + 2y, the terms cannot be combined because one term contains the variable x and the other term contains y; they are not like terms. The key to combining like terms is looking for the same variable raised to the same power. If they match, you can add or subtract the coefficients (the numbers in front of the variables) and keep the variable part the same.

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