6x+2y=10;12x+4y=21

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

Solution for 6x+2y=10;12x+4y=21 system of equations:


  • /| 6*x+2*y-10 = 0| 12*x+4*y-21 = 0
  • We try to solve the equation: 6*x+2*y-10 = 0
  • 6*x+2*y-10 = 0 // - 6*x-10
  • 2*y = -(6*x-10) // : 2
  • y = (-(6*x-10))/2
  • y = (10-(6*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((10-(6*x))/2)+12*x-21 = 0| y = (10-(6*x))/2
  • (4*(10-6*x))/2+12*x-21 = 0
  • 20-21 = 0
  • -1 = 0
  • -1 = 0
  • x belongs to the empty set
  • The system of equations does not have any solution

 

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