Martinezadam576idn
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Given that [tex]x = 3 + 8i[/tex] and [tex]y = 7 - i[/tex], match the equivalent expressions:

- [tex]-15 + 19i[/tex]
- [tex]58 + 106i[/tex]
- [tex]-8[/tex]
- [tex]41i[/tex]
- [tex]-29 - 53i[/tex]

[tex]-5x + y \longrightarrow \square[/tex]
[tex]x \cdot 2y \longrightarrow \square[/tex]
[tex]-x \cdot y \longrightarrow \square[/tex]
[tex]2x - 3y \longrightarrow \square[/tex]

Sagot :

GinnyAnsweridn
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]
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