Answer:
The system of equations represent the same line ⇒ B
Step-by-step explanation:
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system of the equations represent the same line
- a = d, b = e, and c ≠ f, then the system of the equations represent two parallel lines
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system of the equations represent two intersecting lines
∵ The one line represented by the equation 25y - 20x = 100
→ Divide the terms of the equation by 5 to simplify it
∴ 5y - 4x = 20 ⇒ (1)
∴ a = 5, b = -4, c = 20
∵ The other line represented by the equation 5y - 4x = 20 ⇒ (2)
∴ d = 5, e = -4, f = 20
→ Compare the two equations
∵ a = d, b = e, c = f
→ By using the 1st case above
∴ The system of equations represent the same line
