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).

Answer Link

Otras preguntas

Alan has 17 7/8 gallons of gas. His mower's gas tank holds 3 1/4 gallons. How many times can he fill his mower
The Senate is given the responsibility of approving presidential nominations. true or faules
describe the path of energy from the sun to you
What is the greatest common factor of 40 and 36
ABC is an isosceles triangle with angle ABC 52 degrees XY is parallel to BC Work out the size of angle BAC -thanks! :D
Describe the value of the 9 in 926,415.
Round 637.892 to the nearest whole number
Which belief about government did the signers of the Mayflower Compact not include in that document?
One half minus seven eighths
Which of the following did not contribute to the colonists' expectation to have representative government? interaction with colonial governors English political