Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
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 - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
- [Addition Property of Equality] Add 8y on both sides: -x = 8y + 5
- [Division Property of Equality] Divide -1 on both sides: x = -8y - 5
Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
- Substitute in x: 4(-8y - 5) - 3y = -20
- [Distributive Property] Distribute 4: -32y - 20 - 3y = -20
- Combine like terms: -35y - 20 = -20
- [Addition Property of Equality] Add 20 on both sides: -35y = 0
- [Division Property of Equality] Divide -35 on both sides: y = 0
Step 5: Solve for x
- Define original equation: -x - 8y = 5
- Substitute in y: -x - 8(0) = 5
- Multiply: -x = 5
- [Division Property of Equality] Divide -1 on both sides: x = -5
