3x-4y=10;30x-6y=-36

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Solution for 3x-4y=10;30x-6y=-36 system of equations: 


  • /| 3*x-(4*y)-10 = 0| 30*x-(6*y)+36 = 0
  • We try to solve the equation: 3*x-(4*y)-10 = 0
  • 3*x-4*y-10 = 0 // - 3*x-10
  • -4*y = -(3*x-10) // : -4
  • y = (-(3*x-10))/(-4)
  • y = (10-(3*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 30*x-(6*((10-(3*x))/(-4)))+36 = 0| y = (10-(3*x))/(-4)
  • (-1*6*(10-3*x))/(-4)+30*x+36 = 0
  • 51/2*x+15+36 = 0
  • 51/2*x+51 = 0
  • 51/2*x+51 = 0 // - 51
  • 51/2*x = -51 // : 51/2
  • x = -51/51/2
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(3*x))/(-4): 
  • y = (10-(-2*3))/(-4)
  • y = (6+10)/(-4)
  • y = 16/(-4)
  • y = -4
  • We get a system of equations:
  • /| y = -4| x = -2

 

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