Question

Y = 4x + 2
6x + 2y = 8
What is the value of x + y?

Answer 1

24/7

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

Explanation:

Step 1: Define Systems

y = 4x + 2

6x + 2y = 8

Step 2: Solve for x

Substitution

1. Substitute in y: 6x + 2(4x + 2) = 8
2. Factor GCF: 2[3x + (4x + 2)] = 8
3. [Division Property of Equality] Divide 2 on both sides: 3x + 4x + 2 = 4
4. Combine like terms [Addition]: 7x + 2 = 4
5. [Subtraction Property of Equality] Subtract 2 on both sides: 7x = 2
6. [Division Property of Equality] Divide 7 on both sides: x = 2/7

Step 3: Solve for y

1. Substitute in x [Original equation]: y = 4(2/7) + 2
2. Multiply: y = 8/7 + 2
3. Add: y = 22/7

Step 4: Evaluate

1. Substitute in variables: 2/7 + 22/7
2. Add: 24/7