4m+5p=85;5m+8p=115

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

Solution for 4m+5p=85;5m+8p=115 system of equations: 


  • /| 4*m+5*p-85 = 0| 5*m+8*p-115 = 0
  • We try to solve the equation: 4*m+5*p-85 = 0
  • 4*m+5*p-85 = 0 // - 4*m-85
  • 5*p = -(4*m-85) // : 5
  • p = (-(4*m-85))/5
  • p = (85-(4*m))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((85-(4*m))/5)+5*m-115 = 0| p = (85-(4*m))/5
  • (8*(85-4*m))/5+5*m-115 = 0
  • 136-7/5*m-115 = 0
  • 21-7/5*m = 0
  • 21-7/5*m = 0 // - 21
  • -7/5*m = -21 // : -7/5
  • m = -21/(-7/5)
  • m = 15
  • We insert the solution into one of the initial equations of our system of equations
  • For p = (85-(4*m))/5: 
  • p = (85-(4*15))/5
  • p = (85-60)/5
  • p = 25/5
  • p = 5
  • We get a system of equations:
  • /| p = 5| m = 15

 

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