4x+7y=32;2x-3y=18

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

Solution for 4x+7y=32;2x-3y=18 system of equations: 


  • /| 4*x+7*y-32 = 0| 2*x-(3*y)-18 = 0
  • We try to solve the equation: 4*x+7*y-32 = 0
  • 4*x+7*y-32 = 0 // - 4*x-32
  • 7*y = -(4*x-32) // : 7
  • y = (-(4*x-32))/7
  • y = (32-(4*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-(3*((32-(4*x))/7))-18 = 0| y = (32-(4*x))/7
  • (-1*3*(32-4*x))/7+2*x-18 = 0
  • 26/7*x-18-96/7 = 0
  • 26/7*x-222/7 = 0
  • 26/7*x-222/7 = 0 // + 222/7
  • 26/7*x = 222/7 // : 26/7
  • x = 222/7/26/7
  • x = 111/13
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (32-(4*x))/7: 
  • y = (32-(4*111/13))/7
  • y = (32-444/13)/7
  • y = -28/13/7
  • y = -4/13
  • We get a system of equations:
  • /| y = -4/13| x = 111/13

 

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