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Sagot :
Answer:
i = 7
Step-by-step explanation:
13 - 3i = -8 -> -3i = -21 -> i = 7
Answer:
i = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- [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) = -8
- Multiply: 13 - 21 = -8
- Subtract: -8 = -8
Here we see that -8 does indeed equal -8.
∴ i = 7 is the solution to the equation.
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