4x+2y=84;4x+3y=74

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2x+y=8
x+3y=14

Solution for 4x+2y=84;4x+3y=74 system of equations: 


  • /| 4*x+2*y-84 = 0| 4*x+3*y-74 = 0
  • We try to solve the equation: 4*x+2*y-84 = 0
  • 4*x+2*y-84 = 0 // - 4*x-84
  • 2*y = -(4*x-84) // : 2
  • y = (-(4*x-84))/2
  • y = (84-(4*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((84-(4*x))/2)+4*x-74 = 0| y = (84-(4*x))/2
  • (3*(84-4*x))/2+4*x-74 = 0
  • 126-2*x-74 = 0
  • 52-2*x = 0
  • 52-2*x = 0 // - 52
  • -2*x = -52 // : -2
  • x = -52/(-2)
  • x = 26
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (84-(4*x))/2: 
  • y = (84-(4*26))/2
  • y = (84-104)/2
  • y = -20/2
  • y = -10
  • We get a system of equations:
  • /| y = -10| x = 26

 

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