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(8, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x - 16

5y = 2x - 56

Step 2: Solve for x

Substitute in y:                                                                                                5(x - 16) = 2x - 56Distribute 5:                                                                                                     5x - 80 = 2x - 56[Subtraction Property of Equality] Subtract 2x on both sides:                     3x - 80 = -56[Addition Property of Equality] Add 80 on both sides:                                3x = 24[Division Property of Equality] Divide 3 on both sides:                                x = 8

Step 3: Solve for y

Define original equation:                                                                               y = x - 16Substitute in x:                                                                                                y = 8 - 16Subtract:                                                                                                          y = -8