5x7y=-1;-3x4y=-24

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Solution for 5x7y=-1;-3x4y=-24 system of equations: 


  • /| 5*x^7*y+1 = 0| 24-3*x^4*y = 0
  • We try to solve the equation: 5*x^7*y+1 = 0
  • 5*x^7*y+1 = 0 // - 1
  • 5*x^7*y = -1 // : 5*x^7
  • y = -1/(5*x^7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 24-3*(-1/(5*x^7))*x^4 = 0| y = -1/(5*x^7)
  • 3/5*x^-3 = -24 // : 3/5
  • x^-3 = -40
  • -3 < 0
  • 1/(x^3) = -40 // * x^3
  • 1 = -40*x^3 // : -40
  • -1/40 = x^3
  • x^3 = -1/40 // ^ 1/3
  • x = -(1/40)^(1/3)
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -1/(5*x^7): 
  • y = -1/(5*(-(1/40)^(1/3))^7)
  • y = -1/(5*(1/40)^(7/3))
  • We get a system of equations:
  • /| y = -1/(5*(1/40)^(7/3))| x = -(1/40)^(1/3)

 

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