Sure! Let's simplify the expression step by step:
Given expression:
[tex]\[ 2x + 7y + 3x - 4y \][/tex]
Step 1: Group the like terms together.
The terms that contain [tex]\( x \)[/tex] are:
[tex]\[ 2x \][/tex] and [tex]\[ 3x \][/tex]
The terms that contain [tex]\( y \)[/tex] are:
[tex]\[ 7y \][/tex] and [tex]\[ -4y \][/tex]
Step 2: Combine the like terms.
First, combine the [tex]\( x \)[/tex] terms:
[tex]\[ 2x + 3x \][/tex]
Adding these, we get:
[tex]\[ 5x \][/tex]
Next, combine the [tex]\( y \)[/tex] terms:
[tex]\[ 7y - 4y \][/tex]
Subtracting these, we get:
[tex]\[ 3y \][/tex]
Step 3: Write down the simplified expression.
After combining the like terms, the simplified expression is:
[tex]\[ 5x + 3y \][/tex]
So, the simplified form of [tex]\( 2x + 7y + 3x - 4y \)[/tex] is:
[tex]\[ 5x + 3y \][/tex]
