Question

Substitution method. Help!

Answer 1

(2, 2)

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

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

Explanation:

Step 1: Define Systems

y = 3x - 4

2y = -x + 6

Step 2: Solve for x

Substitution

1. Substitute in y: 2(3x - 4) = -x + 6
2. [Distributive Property] Distribute 2: 6x - 8 = -x + 6
3. [Addition Property of Equality] Add x on both sides: 7x - 8 = 6
4. [Addition Property of Equality] Add 8 on both sides: 7x = 14
5. [Division Property of Equality] Divide 7 on both sides: x = 2

Step 3: Solve for y

1. Substitute in x [Original Equation]: y = 3(2) - 4
2. Multiply: y = 6 - 4
3. Subtract: y = 2