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Answer:

5 and -1

Step-by-step explanation:

Let the two numbers be x and y

x+y =4

x-y = 6

Add the two equations together

x+y =4

x-y = 6

--------------

2x = 10

Divide by 2

2x/2 =10/2

x=5

x+y = 4

5+y = 4

y = 4-5

y = -1

The numbers are 5 and -1

Space

Answer:

5 and -1.

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
  • Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define

Identify

Let x be one number and y be the other.

x + y = 4

x - y = 6

Step 2: Solve for x

Elimination

  1. Combine 2 equations:                                                                                      2x = 10
  2. [Division Property of Equality] Divide 2 on both sides:                                  x = 5

Step 3: Solve for y

  1. Substitute in x [1st Equation]:                                                                           5 + y = 4
  2. [Subtraction Property of Equality] Subtract 5 on both sides:                        y = -1

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