3x-y=37;x+2y=38

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

Solution for 3x-y=37;x+2y=38 system of equations: 


  • /| 3*x-y-37 = 0| x+2*y-38 = 0
  • We try to solve the equation: 3*x-y-37 = 0
  • 3*x-y-37 = 0 // - 3*x-37
  • -y = -(3*x-37) // * -1
  • y = 3*x-37
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*(3*x-37)+x-38 = 0| y = 3*x-37
  • 2*(3*x-37)+x-38 = 0
  • 7*x-74-38 = 0
  • 7*x-112 = 0
  • 7*x-112 = 0 // + 112
  • 7*x = 112 // : 7
  • x = 112/7
  • x = 16
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*x-37: 
  • y = 3*16-37
  • y = 48-37
  • y = 11
  • We get a system of equations:
  • /| y = 11| x = 16

 

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