13-3i=-8 what does i equal

i = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

13 - 3i = -8

Step 2: Solve for i

[Subtraction Property of Equality] Subtract 13 on both sides:                     -3i = -21[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.

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

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

∴ i = 7 is the solution to the equation.