7x+8y=4;8x+7y=53

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Solution for 7x+8y=4;8x+7y=53 system of equations: 


  • /| 7*x+8*y-4 = 0| 8*x+7*y-53 = 0
  • We try to solve the equation: 7*x+8*y-4 = 0
  • 7*x+8*y-4 = 0 // - 7*x-4
  • 8*y = -(7*x-4) // : 8
  • y = (-(7*x-4))/8
  • y = (4-(7*x))/8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((4-(7*x))/8)+8*x-53 = 0| y = (4-(7*x))/8
  • (7*(4-7*x))/8+8*x-53 = 0
  • 15/8*x-53+7/2 = 0
  • 15/8*x-99/2 = 0
  • 15/8*x-99/2 = 0 // + 99/2
  • 15/8*x = 99/2 // : 15/8
  • x = 99/2/15/8
  • x = 132/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4-(7*x))/8: 
  • y = (4-(7*132/5))/8
  • y = (4-924/5)/8
  • y = -904/5/8
  • y = -113/5
  • We get a system of equations:
  • /| y = -113/5| x = 132/5

 

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