Answer:
(0, -3)
x = 0
y = -3
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define systems
6x - 5y = 15
x = y + 3
Step 2: Solve for y
Substitution
- Substitute in x: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- Isolate y: y = -3
Step 3: Solve for x
- Define original equation: x = y + 3
- Substitute in y: x = -3 + 3
- Add: x = 0
