Question

Solve each system of equations using any method. x+3y=9, 2x-3y=3

Answer 1

(4, 5/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

• Solving systems of equations using substitution/elimination
• Solving systems of equations by graphing

Explanation:

Step 1: Define Systems

x + 3y = 9

2x - 3y = 3

Step 2: Solve for x

Elimination

1. Combine equations: 3x = 12
2. Divide 3 on both sides: x = 4

Step 3: Solve for y

1. Define equation: x + 3y = 9
2. Substitute in x: 4 + 3y = 9
3. Isolate y term: 3y = 5
4. Isolate y: y = 5/3

Step 4: Graph Systems

Check the solution set.