Answer:
(2, 4)
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
- Subtract Property of Equality
Algebra I
- Solving systems of equations using substitution/elimination
Explanation:
Step 1: Define Systems
y = 2x
x = -y + 6
Step 2: Solve for y
Substitution
- Substitute in x: y = 2(-y + 6)
- Distribute 2: y = -2y + 12
- Isolate y terms: 3y = 12
- Isolate y: y = 4
Step 3: Solve for x
- Define equation: x = -y + 6
- Substitute in y: x = -4 + 6
- Add: x = 2