Solve the system of equations by the addition method.−2x−y=0 10x+y=−8

(-1, 2)

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

-2x - y = 0

10x + y = -8

Step 2: Solve for x

Elimination

Combine equations:                         8x = -8Isolate x:                                            x = -1

Step 3: Solve for y

Define equation:                    -2x - y = 0Substitute in x:                       -2(-1) - y = 0Multiply:                                  2 - y = 0Isolate y term:                        -y = -2Isolate y:                                 y = 2

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