Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Click and drag like terms onto each other to simplify fully.

5x-6y+5+6y-y

Click and drag like terms onto each other to simplify fully.\newline5x6y+5+6yy 5 x-6 y+5+6 y-y

Full solution

Q. Click and drag like terms onto each other to simplify fully.\newline5x6y+5+6yy 5 x-6 y+5+6 y-y
  1. Identify Like Terms: First, identify like terms in the expression. Like terms are terms that contain the same variable raised to the same power.\newlineIn the expression 5x6y+5+6yy5x-6y+5+6y-y, the like terms are:\newline6y-6y and 6y6y, which are like terms because they both contain the variable yy.\newliney-y is also a like term with 6y-6y and 6y6y.\newline55 is a constant term and does not have a like term in this expression.
  2. Combine Like Terms: Combine the like terms by adding or subtracting them.\newline6y+6y=0-6y + 6y = 0 (since they are additive inverses of each other)\newline6y+6yy=0y=y-6y + 6y - y = 0 - y = -y\newlineSo, 6y+6yy-6y + 6y - y simplifies to y-y.
  3. Combine Simplified Terms: Now, combine the simplified like terms with the remaining terms in the expression.\newlineThe expression now is 5x+(y)+55x + (-y) + 5.\newlineSince there are no like terms left to combine, this is the simplified expression.
  4. Check Final Expression: Check the final expression for any remaining like terms or possible simplifications.\newlineThe final expression is 5xy+55x - y + 5, and there are no like terms left to combine.

More problems from Find the magnitude of a vector