Question

Solve the system using substitution. y - 3x = 1 2y - x = 12 ([?], [])

Answer 1

Answer:

(2, 5)

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

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

1. Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

1. Substitute in y:                    2(3x + 1) - x = 12
2. Distribute 2:                         6x + 2 - x = 12
3. Combine like terms:           5x + 2 = 12
4. Isolate x term:                     5x = 10
5. Isolate x:                              x = 2

Step 5: Solve for y

1. Define equation:                    2y - x = 12
2. Substitute in x:                       2y - 2 = 12
3. Isolate y term:                        2y = 10
4. Isolate y:                                 y = 5