8p-7q=-4;24p-q=68

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Solution for 8p-7q=-4;24p-q=68 system of equations: 


  • /| 8*p-(7*q)+4 = 0| 24*p-q-68 = 0
  • We try to solve the equation: 8*p-(7*q)+4 = 0
  • 8*p-7*q+4 = 0 // - 8*p+4
  • -7*q = -(8*p+4) // : -7
  • q = (-(8*p+4))/(-7)
  • q = (8*p+4)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 24*p-((8*p+4)/7)-68 = 0| q = (8*p+4)/7
  • (-1*(8*p+4))/7+24*p-68 = 0
  • 160/7*p-68-4/7 = 0
  • 160/7*p-480/7 = 0
  • 160/7*p-480/7 = 0 // + 480/7
  • 160/7*p = 480/7 // : 160/7
  • p = 480/7/160/7
  • p = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For q = (8*p+4)/7: 
  • q = (3*8+4)/7
  • q = (4+24)/7
  • q = 28/7
  • q = 4
  • We get a system of equations:
  • /| q = 4| p = 3

 

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