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Sagot :
Answer:
(-31/13, -22/13)
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
y = -6x - 16
-2x + 4y = -2
Step 2: Solve for x
Substitution
- Substitute in y: -2x + 4(-6x - 16) = -2
- Distribute 4: -2x - 24x - 64 = -2
- Combine like terms: -26x - 64 = -2
- [Addition Property of Equality] Add 64 on both sides: -26x = 62
- [Division Property of Equality] Divide -26 on both sides: x = -31/13
Step 3: Solve for y
- Define original equation: y = -6x - 16
- Substitute in x: y = -6(-31/13) - 16
- Multiply: y = 186/13 - 16
- Subtract: y = -22/13
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