2x+7y=-19;-2x-14y=40

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

Solution for 2x+7y=-19;-2x-14y=40 system of equations: 


  • /| 2*x+7*y+19 = 0| -2*x-(14*y)-40 = 0
  • We try to solve the equation: 2*x+7*y+19 = 0
  • 2*x+7*y+19 = 0 // - 2*x+19
  • 7*y = -(2*x+19) // : 7
  • y = (-(2*x+19))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(14*((-(2*x+19))/7))-2*x-40 = 0| y = (-(2*x+19))/7
  • (-1*14*(-2*x-19))/7-2*x-40 = 0
  • 2*x-40+38 = 0
  • 2*x-2 = 0
  • 2*x-2 = 0 // + 2
  • 2*x = 2 // : 2
  • x = 2/2
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(2*x+19))/7: 
  • y = (-(1*2+19))/7
  • y = (-(2+19))/7
  • y = -21/7
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 1

 

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