Sure, let's simplify the given expression step by step.
Given expression:
[tex]\[ 2x + 7y + 3x - 4y \][/tex]
1. Identify and combine like terms:
- Combine the terms involving [tex]\( x \)[/tex]:
[tex]\[
2x + 3x
\][/tex]
- Combine the terms involving [tex]\( y \)[/tex]:
[tex]\[
7y - 4y
\][/tex]
2. Perform the addition and subtraction:
- For the [tex]\( x \)[/tex]-terms:
[tex]\[
2x + 3x = 5x
\][/tex]
- For the [tex]\( y \)[/tex]-terms:
[tex]\[
7y - 4y = 3y
\][/tex]
3. Write the simplified expression:
[tex]\[
5x + 3y
\][/tex]
So the simplified form of the expression [tex]\(2x + 7y + 3x - 4y\)[/tex] is:
[tex]\[
5x + 3y
\][/tex]
