Answer:
(12/7, -19/7)
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
--5x - 9y = 33
-y - 1 = x
Step 2: Simplify systems
5x - 9y = 33
-y - 1 = x
Step 3: Solve for y
- Substitute: 5(-y - 1) - 9y = 33
- Distribute 5: -5y - 5 - 9y = 33
- Combine like terms: -14y - 5 = 33
- Isolate y term: -14y = 38
- Isolate y: y = -19/7
Step 4: Solve for x
- Define: -y - 1 = x
- Substitute: -(-19/7) - 1 = x
- Simplify: 19/7 - 1 = x
- Subtract: 12/7 = x
- Rewrite: x = 12/7
And we have our final answer!
