Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. y=6x-4 y=7x-7

Answer 1

(3, 14)

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

• 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 using substitution/elimination

Explanation:

Step 1: Define Systems

y = 6x - 4

y = 7x - 7

Step 2: Solve for x

Substitution

1. Substitute in y [1st Equation]: 6x - 4 = 7x - 7
2. [Subtraction Property of Equality] Subtract 7x on both sides: -x - 4 = -7
3. [Addition Property of Equality] Add 4 on both sides: -x = -3
4. [Division Property of Equality] Divide -1 on both sides: x = 3

Step 3: Solve for y

1. Substitute in x [2nd Equation]: y = 7(3) - 7
2. Multiply: y = 21 - 7
3. Subtract: y = 14