5x-4y=-14;x+4y=2

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for example:
2x+y=8
x+3y=14

Solution for 5x-4y=-14;x+4y=2 system of equations: 


  • /| 5*x-(4*y)+14 = 0| x+4*y-2 = 0
  • We try to solve the equation: 5*x-(4*y)+14 = 0
  • 5*x-4*y+14 = 0 // - 5*x+14
  • -4*y = -(5*x+14) // : -4
  • y = (-(5*x+14))/(-4)
  • y = (5*x+14)/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((5*x+14)/4)+x-2 = 0| y = (5*x+14)/4
  • (4*(5*x+14))/4+x-2 = 0
  • 6*x-2+14 = 0
  • 6*x+12 = 0
  • 6*x+12 = 0 // - 12
  • 6*x = -12 // : 6
  • x = -12/6
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5*x+14)/4: 
  • y = (14-2*5)/4
  • y = (14-10)/4
  • y = 4/4
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -2

 

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