Question

Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I​

Answer 1

(1, 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

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

Algebra I

• Coordinates (x, y)
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

1. Substitute in y: 3 = -3x + 6
2. [Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
3. [Division Property of Equality] Divide -3 on both sides: 1 = x
4. Rewrite/Rearrange: x = 1

Step 3: Solve for y

1. Define original equation: y = -3(1) + 6
2. Multiply: y = -3 + 6
3. Add: y = 3