4x+2y=5;-4x-4y=3

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

Solution for 4x+2y=5;-4x-4y=3 system of equations: 


  • /| 4*x+2*y-5 = 0| -4*x-(4*y)-3 = 0
  • We try to solve the equation: 4*x+2*y-5 = 0
  • 4*x+2*y-5 = 0 // - 4*x-5
  • 2*y = -(4*x-5) // : 2
  • y = (-(4*x-5))/2
  • y = (5-(4*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(4*((5-(4*x))/2))-4*x-3 = 0| y = (5-(4*x))/2
  • (-1*4*(5-4*x))/2-4*x-3 = 0
  • 4*x-10-3 = 0
  • 4*x-13 = 0
  • 4*x-13 = 0 // + 13
  • 4*x = 13 // : 4
  • x = 13/4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (5-(4*x))/2: 
  • y = (5-(4*(13/4)))/2
  • y = (5-(13/4*4))/2
  • y = (5-13)/2
  • y = -8/2
  • y = -4
  • We get a system of equations:
  • /| y = -4| x = 13/4

 

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