Question

Solve each system by elimination.
1) 6x - y=-14
-2x + y = 6

Answer 1

(-2, 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

Explanation:

Step 1: Define Systems

6x - y = -14

-2x + y = 6

Step 2: Solve for x

Elimination

1. Combine 2 equations: 4x = -8
2. Divide 4 on both sides: x = -2

Step 3: Solve for y

1. Define equation: -2x + y = 6
2. Substitute in x: -2(-2) + y = 6
3. Multiply: 4 + y = 6
4. Isolate y: y = 2