4x-5y=-52;-4x+3y=44

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

Solution for 4x-5y=-52;-4x+3y=44 system of equations: 


  • /| 4*x-(5*y)+52 = 0| 3*y-4*x-44 = 0
  • We try to solve the equation: 4*x-(5*y)+52 = 0
  • 4*x-5*y+52 = 0 // - 4*x+52
  • -5*y = -(4*x+52) // : -5
  • y = (-(4*x+52))/(-5)
  • y = (4*x+52)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((4*x+52)/5)-4*x-44 = 0| y = (4*x+52)/5
  • (3*(4*x+52))/5-4*x-44 = 0
  • 156/5-8/5*x-44 = 0
  • -8/5*x-64/5 = 0
  • -8/5*x-64/5 = 0 // + 64/5
  • -8/5*x = 64/5 // : -8/5
  • x = 64/5/(-8/5)
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+52)/5: 
  • y = (52-8*4)/5
  • y = (52-32)/5
  • y = 20/5
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = -8

 

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