Question

X + 2y = 4
y = -x - 1

Answer 1

(-6, 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

Explanation:

Step 1: Define Systems

x + 2y = 4

y = -x - 1

Step 2: Solve for x

Substitution

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

Step 3: Solve for y

1. Define equation: y = -x - 1
2. Substitute in x: y = -(-6) - 1
3. Multiply: y = 6 - 1
4. Subtract: y = 5