Question

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Answer 1

Answer:

(12, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right  

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

-4x = y - 42

x = 18 + y

Step 2: Solve for y

1. Substitute in x:                                                                                                -4(18 + y) = y - 42
2. Distribute -4:                                                                                                   -72 - 4y = y - 42
3. [Addition Property of Equality] Add 4y on both sides:                                 -72 = 5y - 42
4. [Addition Property of Equality] Add 42 on both sides:                                -30 = 5y
5. [Division Property of Equality] Divide 5 on both sides:                               -6 = y
6. Rewrite/Rearrange:                                                                                         y = -6

Step 3: Solve for x

1. Define original equation:                                                                               x = 18 + y
2. Substitute in y:                                                                                                x = 18 - 6
3. Subtract:                                                                                                           x = 12