Question

What is the solution to this system? y= 2x + 2, y= x - 1

Answer 1

(-3, -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

y = 2x + 2

y = x - 1

Step 2: Solve for x

Substitution

1. Substitute in y: 2x + 2 = x - 1
2. Isolate x terms: x + 2 = -1
3. Isolate x: x = -3

Step 3: Solve for y

1. Define equation: y = x - 1
2. Substitute in x: y = -3 - 1
3. Subtract: y = -4