Answer:
(3, 1)
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Explanation:
Step 1: Define systems
3x + y = 10
y = x - 2
Step 2: Solve for x
- Substitute: 3x + (x - 2) = 10
- Combine like terms: 4x - 2 = 10
- Isolate x term: 4x = 12
- Isolate x: x = 3
Step 3: Solve for y
- Define original equation: y = x - 2
- Substitute in x: y = 3 - 2
- Subtract: y = 1
And we have our answer!