7p+5q=58;14p-q=50

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Solution for 7p+5q=58;14p-q=50 system of equations:


  • /| 7*p+5*q-58 = 0| 14*p-q-50 = 0
  • We try to solve the equation: 7*p+5*q-58 = 0
  • 7*p+5*q-58 = 0 / - 7*p-58
  • 5*q = -(7*p-58) / : 5
  • q = (-(7*p-58))/5
  • q = (58-(7*p))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 14*p-((58-(7*p))/5)-50 = 0| q = (58-(7*p))/5
  • (-1*(58-7*p))/5+14*p-50 = 0
  • 77/5*p-50-58/5 = 0
  • 77/5*p-308/5 = 0
  • 77/5*p-308/5 = 0 / + 308/5
  • 77/5*p = 308/5 / : 77/5
  • p = 308/5/77/5
  • p = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For q = (58-(7*p))/5:
  • q = (58-(4*7))/5
  • q = (58-28)/5
  • q = 30/5
  • q = 6
  • We get a system of equations:
  • /| q = 6| p = 4

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