1x+4y=-10;3x-5y=21

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Solution for 1x+4y=-10;3x-5y=21 system of equations: 


  • /| 1*x+4*y+10 = 0| 3*x-(5*y)-21 = 0
  • We try to solve the equation: 1*x+4*y+10 = 0
  • x+4*y+10 = 0 // - x+10
  • 4*y = -(x+10) // : 4
  • y = (-(x+10))/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*((-(x+10))/4))-21 = 0| y = (-(x+10))/4
  • (-1*5*(-x-10))/4+3*x-21 = 0
  • 17/4*x-21+25/2 = 0
  • 17/4*x-17/2 = 0
  • 17/4*x-17/2 = 0 // + 17/2
  • 17/4*x = 17/2 // : 17/4
  • x = 17/2/17/4
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(x+10))/4: 
  • y = (-(2+10))/4
  • y = -12/4
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = 2

 

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