a+s=456;350a+100s=113100

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

Solution for a+s=456;350a+100s=113100 system of equations:


  • /| a+s-456 = 0| 350*a+100*s-113100 = 0
  • We try to solve the equation: a+s-456 = 0
  • a+s-456 = 0 / - a-456
  • s = -(a-456)
  • s = 456-a
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 100*(456-a)+350*a-113100 = 0| s = 456-a
  • 100*(456-a)+350*a-113100 = 0
  • 250*a-113100+45600 = 0
  • 250*a-67500 = 0
  • 250*a-67500 = 0 / + 67500
  • 250*a = 67500 / : 250
  • a = 67500/250
  • a = 270
  • We insert the solution into one of the initial equations of our system of equations
  • For s = 456-a:
  • s = 456-270
  • s = 186
  • We get a system of equations:
  • /| s = 186| a = 270

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