Answer:
D. (4, 0)
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
-x + 5y = -4
4x + 3y = 16
Step 2: Rewrite systems
x = 5y + 4
4x + 3y = 16
Step 3: Solve for y
- Substitute in x: 4(5y + 4) + 3y = 16
- Distribute 4: 20y + 16 + 3y = 16
- Combine like terms: 23y + 16 = 16
- Subtract 16 on both sides: 23y = 0
- Divide 23 on both sides: y = 0
Step 4: Solve for x
- Define: 4x + 3y = 16
- Substitute in y: 4x + 3(0) = 16
- Multiply: 4x = 16
- Isolate x: x = 4
And we have our final answer!
