Let's match the given expressions to their corresponding results. We have the expressions and their results as follows:
1. [tex]\( -5x + y \)[/tex]
2. [tex]\( x \cdot 2y \)[/tex]
3. [tex]\( -x \cdot y \)[/tex]
4. [tex]\( 2x - 3y \)[/tex]
Given that:
[tex]\( x = 3 + 8i \)[/tex]
[tex]\( y = 7 - i \)[/tex]
The numerical results are:
- [tex]\( (-8 - 41i) \)[/tex]
- [tex]\( (58 + 106i) \)[/tex]
- [tex]\( (-29 - 53i) \)[/tex]
- [tex]\( (-15 + 19i) \)[/tex]
Now, let's pair them:
1. For [tex]\( -5x + y \)[/tex], the result is [tex]\( (-8 - 41i) \)[/tex]
2. For [tex]\( x \cdot 2y \)[/tex], the result is [tex]\( (58 + 106i) \)[/tex]
3. For [tex]\( -x \cdot y \)[/tex], the result is [tex]\( (-29 - 53i) \)[/tex]
4. For [tex]\( 2x - 3y \)[/tex], the result is [tex]\( (-15 + 19i) \)[/tex]
Thus, the correct pairs are:
[tex]\[ -5x + y \longrightarrow -8 - 41i \][/tex]
[tex]\[ x \cdot 2y \longrightarrow 58 + 106i \][/tex]
[tex]\[ -x \cdot y \longrightarrow -29 - 53i \][/tex]
[tex]\[ 2x - 3y \longrightarrow -15 + 19i \][/tex]
