18.5k views
0 votes
Simplify the expression: 3x+2y−4x+5y+7x−9y.

User Amalfi
by
8.2k points

1 Answer

5 votes

Final answer:

To simplify the expression 3x + 2y - 4x + 5y + 7x - 9y, combine like terms to get 6x - 2y. Check your answer by ensuring correct arithmetic operations on coefficients.

Step-by-step explanation:

To simplify the expression 3x + 2y - 4x + 5y + 7x - 9y, you need to combine like terms. This means adding or subtracting coefficients of the same variable.

First, combine the x terms:

  • 3x - 4x + 7x = (3 - 4 + 7)x = 6x

Next, combine the y terms:

  • 2y + 5y - 9y = (2 + 5 - 9)y = -2y

Putting them together gives you:

6x + (-2y) = 6x - 2y

Check to see if the answer is reasonable: Isolate the coefficients of x and y and make sure that the signs and arithmetic operations were applied correctly.

User Alexbt
by
8.1k points

Related questions

1 answer
5 votes
141k views
2 answers
5 votes
142k views