8p+5q=62;6p-5q=-6

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

Solution for 8p+5q=62;6p-5q=-6 system of equations: 


  • /| 8*p+5*q-62 = 0| 6*p-(5*q)+6 = 0
  • We try to solve the equation: 8*p+5*q-62 = 0
  • 8*p+5*q-62 = 0 // - 8*p-62
  • 5*q = -(8*p-62) // : 5
  • q = (-(8*p-62))/5
  • q = (62-(8*p))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*p-(5*((62-(8*p))/5))+6 = 0| q = (62-(8*p))/5
  • (-1*5*(62-8*p))/5+6*p+6 = 0
  • 14*p-62+6 = 0
  • 14*p-56 = 0
  • 14*p-56 = 0 // + 56
  • 14*p = 56 // : 14
  • p = 56/14
  • p = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For q = (62-(8*p))/5: 
  • q = (62-(4*8))/5
  • q = (62-32)/5
  • q = 30/5
  • q = 6
  • We get a system of equations:
  • /| q = 6| p = 4

 

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