Answer:
24/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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
Step-by-step explanation:
Step 1: Define Systems
y = 4x + 2
6x + 2y = 8
Step 2: Solve for x
Substitution
- Substitute in y: 6x + 2(4x + 2) = 8
- Factor GCF: 2[3x + (4x + 2)] = 8
- [Division Property of Equality] Divide 2 on both sides: 3x + 4x + 2 = 4
- Combine like terms [Addition]: 7x + 2 = 4
- [Subtraction Property of Equality] Subtract 2 on both sides: 7x = 2
- [Division Property of Equality] Divide 7 on both sides: x = 2/7
Step 3: Solve for y
- Substitute in x [Original equation]: y = 4(2/7) + 2
- Multiply: y = 8/7 + 2
- Add: y = 22/7
Step 4: Evaluate
- Substitute in variables: 2/7 + 22/7
- Add: 24/7
