7x-8y=-1;8x+7y=128

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

Solution for 7x-8y=-1;8x+7y=128 system of equations: 


  • /| 7*x-(8*y)+1 = 0| 8*x+7*y-128 = 0
  • We try to solve the equation: 7*x-(8*y)+1 = 0
  • 7*x-8*y+1 = 0 // - 7*x+1
  • -8*y = -(7*x+1) // : -8
  • y = (-(7*x+1))/(-8)
  • y = (7*x+1)/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((7*x+1)/8)+8*x-128 = 0| y = (7*x+1)/8
  • (7*(7*x+1))/8+8*x-128 = 0
  • 113/8*x-128+7/8 = 0
  • 113/8*x-1017/8 = 0
  • 113/8*x-1017/8 = 0 // + 1017/8
  • 113/8*x = 1017/8 // : 113/8
  • x = 1017/8/113/8
  • x = 9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7*x+1)/8: 
  • y = (7*9+1)/8
  • y = (1+63)/8
  • y = 64/8
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 9

 

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