Question

3x - 4y = 11 ; y = -x+6 with substitution

Answer 1

(5, 1)

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

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Coordinates (x, y)
• Terms/Coefficients
• Solving systems of equations by substitution/elimination

Explanation:

Step 1: Define Systems

3x - 4y = 11

y = -x + 6

Step 2: Solve for x

Substitution

1. Substitute in y [1st Equation]: 3x - 4(-x + 6) = 11
2. [Distributive Property] Distribute -4: 3x + 4x - 24 = 11
3. Combine like terms: 7x - 24 = 11
4. [Addition Property of Equality] Isolate x term: 7x = 35
5. [Division Property of Equality] Isolate x: x = 5

Step 3: Solve for y

1. Substitute in x [2nd Equation]: y = -5 + 6
2. Add: y = 1