Question

Solve the system by substitution.
y = x + 35
Y = 8x

Answer 1

(5, 40)

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 = x + 35

y = 8x

Step 2: Solve for x

Substitution

1. Substitute in y: 8x = x + 35
2. [Subtraction Property of Equality] Subtract x on both sides: 7x = 35
3. [Division Property of Equality] Divide 7 on both sides: x = 5

Step 3: Solve for y

1. Define original equation: y = 8(5)
2. Multiply: y = 40