Answer:
(-3, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
Step 1: Define Systems
16x + 14y = 8
-63x - 14y = 133
Step 2: Solve for x
Elimination
- Combine 2 equations: -47x = 141
- Divide -47 on both sides: x = -3
Step 3: Solve for y
- Define original equation: 16x + 14y = 8
- Substitute in x: 16(-3) + 14y = 8
- Evaluate multiplication: -48 + 14y = 8
- Add 48 on both sides: 14y = 56
- Divide 14 on both sides: y = 4
Step 4: Graph Systems
Check the solution set.
