Answer:
(8, -8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Algebra I
- Terms/Coefficients
- Coordinates (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 - 56
- Distribute 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 - 16
- Substitute in x:                                                                                                y = 8 - 16
- Subtract:                                                                                                          y = -8