Answer:
(5, 3)
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
Step 1: Define systems
y = x - 2
-2x + 3y = -1
Step 2: Solve for x
- Substitute in y: -2x + 3(x - 2) = -1
- Distribute 3: -2x + 3x - 6 = -1
- Combine like terms: x - 6 = -1
- Isolate x: x = 5
Step 3: Solve for y
- Define equation: y = x - 2
- Substitute in x: y = 5 - 2
- Subtract: y = 3
