Answer:
(-1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
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 using substitution/elimination
Explanation:
Step 1: Define
-4x + 3y = -2
y = x - 1
Step 2: Solve for x
Substitution
- Substitute in y: -4x + 3(x - 1) = -2
- [Distributive Property] Distribute 3: -4x + 3x - 3 = -2
- Combine like terms: -x - 3 = -2
- [Addition Property of Equality] Add 3 on both sides: -x = 1
- [Division Property of Equality] Divide -1 on both sides: x = -1
Step 3: Solve for y
- Substitute in x [Original Equation]: y = -1 - 1
- Subtract: y = -2