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Sagot :
Answer:
(-3, 4)
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 equation using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
3y = -5x - 3
y = -x + 1
Step 2: Rewrite Systems
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
Step 3: Redefine Systems
3y = -5x - 3
-3y = 3x - 3
Step 4: Solve for x
Elimination
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
Step 5: Solve for y
- Define original equation: y = -x + 1
- Substitute in x: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
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