x+7y=-39;8x-8y=72

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for example:
2x+y=8
x+3y=14

Solution for x+7y=-39;8x-8y=72 system of equations: 


  • /| x+7*y+39 = 0| 8*x-(8*y)-72 = 0
  • We try to solve the equation: x+7*y+39 = 0
  • x+7*y+39 = 0 // - x+39
  • 7*y = -(x+39) // : 7
  • y = (-(x+39))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*x-(8*((-(x+39))/7))-72 = 0| y = (-(x+39))/7
  • (-1*8*(-x-39))/7+8*x-72 = 0
  • 64/7*x-72+312/7 = 0
  • 64/7*x-192/7 = 0
  • 64/7*x-192/7 = 0 // + 192/7
  • 64/7*x = 192/7 // : 64/7
  • x = 192/7/64/7
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(x+39))/7: 
  • y = (-(3+39))/7
  • y = -42/7
  • y = -6
  • We get a system of equations:
  • /| y = -6| x = 3

 

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