7x+2y=2;6x-2y=4

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

Solution for 7x+2y=2;6x-2y=4 system of equations: 


  • /| 7*x+2*y-2 = 0| 6*x-(2*y)-4 = 0
  • We try to solve the equation: 7*x+2*y-2 = 0
  • 7*x+2*y-2 = 0 // - 7*x-2
  • 2*y = -(7*x-2) // : 2
  • y = (-(7*x-2))/2
  • y = (2-(7*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*x-(2*((2-(7*x))/2))-4 = 0| y = (2-(7*x))/2
  • (-1*2*(2-7*x))/2+6*x-4 = 0
  • 13*x-4-2 = 0
  • 13*x-6 = 0
  • 13*x-6 = 0 // + 6
  • 13*x = 6 // : 13
  • x = 6/13
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (2-(7*x))/2: 
  • y = (2-(7*(6/13)))/2
  • y = (2-(6/13*7))/2
  • y = (2-42/13)/2
  • y = -16/13/2
  • y = -8/13
  • We get a system of equations:
  • /| y = -8/13| x = 6/13

 

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