Question

13-3i=-8 what does i equal

Answer 1

Answer:

i = 7

Step-by-step explanation:

13 - 3i = -8 -> -3i = -21 -> i = 7

Answer 2

Answer:

i = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right  

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

13 - 3i = -8

Step 2: Solve for i

1. [Subtraction Property of Equality] Subtract 13 on both sides:                     -3i = -21
2. [Division Property of Equality] Divide -3 on both sides:                                i = 7

Step 3: Check

Plug in i into the original equation to verify it's a solution.

1. Substitute in i:                                                                                                 13 - 3(7) = -8
2. Multiply:                                                                                                           13 - 21 = -8
3. Subtract:                                                                                                          -8 = -8

Here we see that -8 does indeed equal -8.

∴ i = 7 is the solution to the equation.