3x+4y=11.25;1x+5y=9.25

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

Solution for 3x+4y=11.25;1x+5y=9.25 system of equations:


  • /| 3*x+4*y-11.25 = 0| 1*x+5*y-9.25 = 0
  • We try to solve the equation: 3*x+4*y-11.25 = 0
  • 3*x+4*y-11.25 = 0 // - 3*x-11.25
  • 4*y = -(3*x-11.25) // : 4
  • y = (-(3*x-11.25))/4
  • y = (11.25-(3*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((11.25-(3*x))/4)+1*x-9.25 = 0| y = (11.25-(3*x))/4
  • (5*(11.25-3*x))/4+x-9.25 = 0
  • 14.0625-11/4*x-9.25 = 0
  • 4.8125-11/4*x = 0
  • 4.8125-11/4*x = 0 // - 4.8125
  • -11/4*x = -4.8125 // : -11/4
  • x = -4.8125/(-11/4)
  • x = 1.75
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (11.25-(3*x))/4:
  • y = (11.25-(1.75*3))/4
  • y = (11.25-5.25)/4
  • y = 6/4
  • y = 3/2
  • We get a system of equations:
  • /| y = 3/2| x = 1.75

 

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