Question

Solve by using substitution. Express your answer as an ordered pair.

Answer 1

(2, 4)

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

Algebra I

• Solving systems of equations using substitution/elimination

Explanation:

Step 1: Define Systems

3x + y = 10

y = x + 2

Step 2: Solve for x

Substitution

1. Substitute in y: 3x + (x + 2) = 10
2. Combine like terms: 4x + 2 = 10
3. Isolate x term: 4x = 8
4. Isolate x: x = 2

Step 3: Solve for y

1. Define equation: y = x + 2
2. Substitute in y: y = 2 + 2
3. Add: y = 4