The lines represented by the equations 25y- 20x=100 and 5y - 4x = 20 are

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

∵ 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

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

d is the answer

step-by-step explanation: