Answer:
(3, -9)
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
-5x - 3y = 12
y = x - 12
Step 2: Solve for x
Substitution
- Substitute in y: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate x term: -8x = -24
- Isolate x: x = 3
Step 3: Solve for y
- Define original equation: y = x - 12
- Substitute in x: y = 3 - 12
- Subtract: y = -9
Step 4: Graph systems
Check the solution set.
