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Sagot :
Answer:
(12, -6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Substitute in x: -4(18 + y) = y - 42
- Distribute -4: -72 - 4y = y - 42
- [Addition Property of Equality] Add 4y on both sides: -72 = 5y - 42
- [Addition Property of Equality] Add 42 on both sides: -30 = 5y
- [Division Property of Equality] Divide 5 on both sides: -6 = y
- Rewrite/Rearrange: y = -6
Step 3: Solve for x
- Define original equation: x = 18 + y
- Substitute in y: x = 18 - 6
- Subtract: x = 12
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