7x+4y=-27;3x-5y=22

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Solution for 7x+4y=-27;3x-5y=22 system of equations: 


  • /| 7*x+4*y+27 = 0| 3*x-(5*y)-22 = 0
  • We try to solve the equation: 7*x+4*y+27 = 0
  • 7*x+4*y+27 = 0 // - 7*x+27
  • 4*y = -(7*x+27) // : 4
  • y = (-(7*x+27))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(5*((-(7*x+27))/4))-22 = 0| y = (-(7*x+27))/4
  • (-1*5*(-7*x-27))/4+3*x-22 = 0
  • 47/4*x-22+135/4 = 0
  • 47/4*x+47/4 = 0
  • 47/4*x+47/4 = 0 // - 47/4
  • 47/4*x = -47/4 // : 47/4
  • x = -47/4/47/4
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(7*x+27))/4: 
  • y = (-(27-1*7))/4
  • y = (-(27-7))/4
  • y = -20/4
  • y = -5
  • We get a system of equations:
  • /| y = -5| x = -1

 

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