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

(-6, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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

Step 3: Solve for y

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

I’m confused what’s happening