a+100b=21000;a+450b=126000

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Solution for a+100b=21000;a+450b=126000 system of equations: 


  • /| a+100*b-21000 = 0| a+450*b-126000 = 0
  • We try to solve the equation: a+100*b-21000 = 0
  • a+100*b-21000 = 0 // - a-21000
  • 100*b = -(a-21000) // : 100
  • b = (-(a-21000))/100
  • b = (21000-a)/100
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 450*((21000-a)/100)+a-126000 = 0| b = (21000-a)/100
  • (450*(21000-a))/100+a-126000 = 0
  • 94500-7/2*a-126000 = 0
  • -7/2*a-31500 = 0
  • -7/2*a-31500 = 0 // + 31500
  • -7/2*a = 31500 // : -7/2
  • a = 31500/(-7/2)
  • a = -9000
  • We insert the solution into one of the initial equations of our system of equations
  • For b = (21000-a)/100: 
  • b = (9000+21000)/100
  • b = 30000/100
  • b = 300
  • We get a system of equations:
  • /| b = 300| a = -9000

 

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