Answer:
(1, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Algebra I
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
3x = y + 2
3x + 2y = 5
Step 2: Rewrite Systems
3x = y + 2
- Subtract 2 on both sides: 3x - 2 = y
- Rewrite: y = 3x - 2
Step 3: Redefine Systems
y = 3x - 2
3x + 2y = 5
Step 4: Solve for x
Substitution
- Substitute in y: 3x + 2(3x - 2) = 5
- Distribute 2: 3x + 6x - 4 = 5
- Combine like terms: 9x - 4 = 5
- Isolate x term: 9x = 9
- Isolate x: x = 1
Step 5: Solve for y
- Define equation: 3x + 2y = 5
- Substitute in x: 3(1) + 2y = 5
- Multiply: 3 + 2y = 5
- Isolate y term: 2y = 2
- Isolate y: y = 1
