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13-3i=-8 what does i equal


Sagot :

ppjahagi

Answer:

i = 7

Step-by-step explanation:

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

Space

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.

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