Question

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

Answer 1

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

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

Answer 2

5 and -1

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