Answer:
(0, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Explanation:
Step 1: Define Systems
x - y = -2
3x - y = 2
Step 2: Rewrite Systems
x - y = 2
- Add y to both sides: x = 2 + y
Step 3: Redefine Systems
x = 2 + y
3x - y = 2
Step 4: Solve for y
Substitution
- Substitute in x: 3(2 + y) - y = 2
- Distribute 3: 6 + 3y - y = 2
- Combine like terms: 6 + 2y = 2
- Isolate y term: 2y = -4
- Isolate y: y = -2
Step 5: Solve for x
- Define: x - y = 2
- Substitute in y: x - (-2) = 2
- Simplify: x + 2 = 2
- Isolate x: x = 0