Answer:
D. (1, -2)
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Algebra I
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
Step 1: Define systems
5x - 2y = 9
3x + 4y = -5
Step 2: Rewrite systems
10x - 4y = 18
3x + 4y = -5
Step 3: Solve for x
- Add to equations together: 13x = 13
- Divide 13 on both sides: x = 1
Step 4: Solve for y
- Define: 3x + 4y = -5
- Substitute in x: 3(1) + 4y = -5
- Multiply: 3 + 4y = -5
- Isolate y term: 4y = -8
- Isolate y: y = -2
And we have our final answer!
