Answer:
(0, 4)
x = 0
y = 4
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
12x - 5y = -20
y = x + 4
Step 2: Solve for x
Substitution
- Substitute in y: 12x - 5(x + 4) = -20
- Distribute -5: 12x - 5x - 20 = -20
- Combine like terms: 7x - 20 = -20
- Isolate x term: 7x = 0
- Isolate x: x = 0
Step 3: Solve for y
- Define original equation: y = x + 4
- Substitute in x: y = 0 + 4
- Add: y = 4