Answer:
(11, 6)
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
2x - 3y = 4
x + 3y = 29
Step 2: Rewrite systems
2x - 3y = 4
x = 29 - 3y
Step 3: Solve for y
- Substitute in x: 2(29 - 3y) - 3y = 4
- Distribute 2: 58 - 6y - 3y = 4
- Combine like terms: 58 - 9y = 4
- Isolate y term: -9y = -54
- Isolate y: y = 6
Step 4: Solve for x
- Define: x + 3y = 29
- Substitute in y: x + 3(6) = 29
- Multiply: x + 18 = 29
- Isolate x: x = 11
Step 5: Check
Graph the systems of equations to verify the solution set.
