Answer:
(5, 9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Algebra I
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define Systems
x - 5y = -40
18x - 5y = 45
Step 2: Rewrite Systems
18x - 5y = 45
- Multiply both sides by -1: -18x + 5y = -45
Step 3: Redefine Systems
x - 5y = -40
-18x + 5y = -45
Step 4: Solve for x
Elimination
- Combine equations: -17x = -85
- Divide -17 on both sides: x = 5
Step 5: Solve for y
- Define equation: x - 5y = -40
- Substitute in x: 5 - 5y = -40
- Isolate y term: -5y = -45
- Isolate y: y = 9