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(0, -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

x - y = -2

3x - y = 2

Step 2: Rewrite Systems

x - y = 2

Add y to both sides:                    x = 2 + y

Step 3: Redefine Systems

x = 2 + y

3x - y = 2

Step 4: Solve for y

Substitution

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

Step 5: Solve for x

Define:                         x - y = 2Substitute in y:            x - (-2) = 2Simplify:                       x + 2 = 2Isolate x:                      x = 0

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