2.1.4. The surm of two numbers is 4 and teir difference is 6. Determine the numbers​

5 and -1.

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/CoefficientsSolving 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

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

Step 3: Solve for y

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

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