Algebra Examples

$(x + y i) - (- 8 + 11 i) = 5 + 9 i$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$x + y i - - 8 - (11 i) = 5 + 9 i$

Step 1.2

Multiply $- 1$ by $- 8$ .

$x + y i + 8 - (11 i) = 5 + 9 i$

Step 1.3

Multiply $11$ by $- 1$ .

$x + y i + 8 - 11 i = 5 + 9 i$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Subtract $y i$ from both sides of the equation.

$x + 8 - 11 i = 5 + 9 i - y i$

Step 2.2

Subtract $8$ from both sides of the equation.

$x - 11 i = 5 + 9 i - y i - 8$

Step 2.3

Add $11 i$ to both sides of the equation.

$x = 5 + 9 i - y i - 8 + 11 i$

Step 2.4

Subtract $8$ from $5$ .

$x = - 3 + 9 i - y i + 11 i$

Step 2.5

Add $9 i$ and $11 i$ .

$x = - 3 - y i + 20 i$