Oh, isn't that a happy little math problem? When you add 3a and 7a together, you get 10a. It's just like mixing different colors on your palette to create a beautiful painting. Just remember to take your time and enjoy the process!
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When simplifying the expression 3a + 7a, you can combine the like terms, which in this case are the terms with the variable 'a'. Adding 3a and 7a gives you 10a. Therefore, the simplified form of 3a + 7a is 10a.
-7a + 3a = -4a
a + 3a - 2 + 3a. Add the a + 3a + 3a = 7a. You can't combine the -2 & 7a so the solution is: 7a - 2.
3a+5b+7a=
Clearly, there are some signs missing. So let's try the four possibilities for the second terms: 1. + and + 3a + 4b = 7a + 4b Subtract 4b from each side: 3a = 7a Subtract 3a from each side: 0 = 4a Answer : a = 0, b indeterminate (ie can have any vaue). 2. + and - 3a + 4b = 7a - 4b Subtract 4b from each side: 3a = 7a - 8b Subtract 7a from each side: -4a = -8b or 4a = 8b Answer: a = 2b 3. - and - 3a - 4b = 7a - 4b Add 4b to each side: 3a = 7a Subtract 3a from each side: 0 = 4a Answer : a = 0, b indeterminate (ie can have any vaue). 4. - and + 3a - 4b = 7a + 4b Add 4b to each side: 3a = 7a + 8b Subtract 7a from each side: -4a = 8b or 4a = -8b Answer: a = -2b Can't do better than that with the information available.
4a + 3a = (4 + 3)a = 7a