x+7y=12;3x-5y=10

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

Solution for x+7y=12;3x-5y=10 system of equations: 


  • /| x+7*y-12 = 0| 3*x-(5*y)-10 = 0
  • We try to solve the equation: x+7*y-12 = 0
  • x+7*y-12 = 0 // - x-12
  • 7*y = -(x-12) // : 7
  • y = (-(x-12))/7
  • y = (12-x)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*x-(5*((12-x)/7))-10 = 0| y = (12-x)/7
  • (-1*5*(12-x))/7+3*x-10 = 0
  • 26/7*x-10-60/7 = 0
  • 26/7*x-130/7 = 0
  • 26/7*x-130/7 = 0 // + 130/7
  • 26/7*x = 130/7 // : 26/7
  • x = 130/7/26/7
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (12-x)/7: 
  • y = (12-5)/7
  • y = 7/7
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 5

 

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