10x-7y=-46;-4x-5y=34

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x+3y=14

Solution for 10x-7y=-46;-4x-5y=34 system of equations: 


  • /| 10*x-(7*y)+46 = 0| -4*x-(5*y)-34 = 0
  • We try to solve the equation: 10*x-(7*y)+46 = 0
  • 10*x-7*y+46 = 0 // - 10*x+46
  • -7*y = -(10*x+46) // : -7
  • y = (-(10*x+46))/(-7)
  • y = (10*x+46)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| -(5*((10*x+46)/7))-4*x-34 = 0| y = (10*x+46)/7
  • (-1*5*(10*x+46))/7-4*x-34 = 0
  • -78/7*x-34-230/7 = 0
  • -78/7*x-468/7 = 0
  • -78/7*x-468/7 = 0 // + 468/7
  • -78/7*x = 468/7 // : -78/7
  • x = 468/7/(-78/7)
  • x = -6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10*x+46)/7: 
  • y = (46-6*10)/7
  • y = (46-60)/7
  • y = -14/7
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -6

 

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