8x+7y=46;12x-5y=100

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2x+y=8
x+3y=14

Solution for 8x+7y=46;12x-5y=100 system of equations: 


  • /| 8*x+7*y-46 = 0| 12*x-(5*y)-100 = 0
  • We try to solve the equation: 8*x+7*y-46 = 0
  • 8*x+7*y-46 = 0 // - 8*x-46
  • 7*y = -(8*x-46) // : 7
  • y = (-(8*x-46))/7
  • y = (46-(8*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 12*x-(5*((46-(8*x))/7))-100 = 0| y = (46-(8*x))/7
  • (-1*5*(46-8*x))/7+12*x-100 = 0
  • 124/7*x-100-230/7 = 0
  • 124/7*x-930/7 = 0
  • 124/7*x-930/7 = 0 // + 930/7
  • 124/7*x = 930/7 // : 124/7
  • x = 930/7/124/7
  • x = 15/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (46-(8*x))/7: 
  • y = (46-(15/2*8))/7
  • y = (46-60)/7
  • y = -14/7
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 15/2

 

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