Question

Solve this system of equations using substitution. Put your answer in ordered pair form,

(x, y).
x = 4y
3x - 2y = 20
​

Answer 1

(8, 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

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Algebra I

• Terms/Coefficients
• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

x = 4y

3x - 2y = 20

Step 2: Solve for y

Substitution

1. Substitute in x: 3(4y) - 2y = 20
2. Multiply: 12y - 2y = 20
3. Combine like terms: 10y = 20
4. Divide 10 on both sides: y = 2

Step 3: Solve for x

1. Define equation: x = 4y
2. Substitute in y: x = 4(2)
3. Multiply: x = 8