Answer:
(-4, 2)
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
-6x + 5y = 34
-6x - 10y = 4
Step 2: Rewrite Systems
-6x + 5y = 34
- Multiply everything by -1: 6x - 5y = -34
Step 3: Redefine Systems
6x - 5y = -34
-6x - 10y = 4
Step 4: Solve for y
Elimination
- Combine 2 equations: -15y = -30
- Divide -15 on both sides: y = 2
Step 5: Solve for x
- Define equation: -6x - 10y = 4
- Substitute in y: -6x - 10(2) = 4
- Multiply: -6x - 20 = 4
- Add 20 on both sides: -6x = 24
- Divide -6 on both sides: x = -4
