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6x-5y=15 x=y+3 find x and y

Sagot :

Space

Answer:

(0, -3)

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
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

  1. Substitute in x:                                                                                                  6(y + 3) - 5y = 15
  2. Distribute 6:                                                                                                    6y + 18 - 5y = 15
  3. Combine like terms:                                                                                        y + 18 = 15
  4. [Subtraction Property of Equality] Subtract 18 on both sides:                     y = -3

Step 3: Solve for x

  1. Define original equation:                                                                               x = y + 3
  2. Substitute in y:                                                                                                   x = -3 + 3
  3. Add:                                                                                                                   x = 0
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