Question

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

Answer 1

Answer:

(1, -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

Algebra I

• Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

4x + y = 2

y = x - 3

Step 2: Solve for x

Substitution

1. Substitute in y:                    4x + (x - 3) = 2
2. Combine like terms:           5x - 3 = 2
3. Isolate x term:                     5x = 5
4. Isolate x:                              x = 1

Step 3: Solve for y

1. Define equation:                    y = x - 3
2. Substitute in x:                       y = 1 - 3
3. Subtract:                                 y = -2

Answer 2

(1,-2) is the ordered pair