K+L=100;8L+10K=840

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Solution for K+L=100;8L+10K=840 system of equations: 


  • /| K+L-100 = 0| 10*K+8*L-840 = 0
  • We try to solve the equation: K+L-100 = 0
  • K+L-100 = 0 // - K-100
  • L = -(K-100)
  • L = 100-K
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*(100-K)+10*K-840 = 0| L = 100-K
  • 8*(100-K)+10*K-840 = 0
  • 2*K-840+800 = 0
  • 2*K-40 = 0
  • 2*K-40 = 0 // + 40
  • 2*K = 40 // : 2
  • K = 40/2
  • K = 20
  • We insert the solution into one of the initial equations of our system of equations
  • For L = 100-K: 
  • L = 100-20
  • L = 80
  • We get a system of equations:
  • /| L = 80| K = 20

 

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