Question

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

Answer 1

Answer:

(-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

Step-by-step 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