bruhbju bruhbju
  • 23-04-2020
  • Mathematics
contestada

What is the solution to the following system?

3x+10y-12z=40
x-5y=0
x-4z=0

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 16-04-2021

9514 1404 393

Answer:

  (x, y, z) = (20, 4, 5)

Step-by-step explanation:

The last two equations allow y and z to be expressed in terms of x, so we have ...

  3x +2(5y) -3(4z) = 40

  3x +2(x) -3(x) = 40

  x = 20 . . . . . . . . . . . . divide by the coefficient of x

  y = 20/5 = 4

  z = 20/4 = 5

The solution is (x, y, z) = (20, 4, 5).

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