cowboy4lifelk cowboy4lifelk
  • 21-05-2020
  • Mathematics
contestada

How many solutions does the system have x+4y=8, x+2y=4

Respuesta :

kgavin54
kgavin54 kgavin54
  • 21-05-2020

Answer:

One solution

Step-by-step explanation:

Answer Link
sqdancefan
sqdancefan sqdancefan
  • 21-05-2020

Answer:

  1

Step-by-step explanation:

The ratio of the x coefficient to the y-coefficient is different in each equation, so the equations are for lines of different slope, so there is one solution.

__

The solution can be found by subtracting the second equation from the first:

  (x +4y) -(x +2y) = (8) -(4)

  2y = 4

  y = 2

  x + 2(2) = 4 . . . . substitute into the second equation

  x = 0 . . . . . . . . . subtract 4

The one solution is (x, y) = (0, 2).

Answer Link

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