4x+2y=23.50;2x+4y=18.50

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Solution for 4x+2y=23.50;2x+4y=18.50 system of equations: 


  • /| 4*x+2*y-23.5 = 0| 2*x+4*y-18.5 = 0
  • We try to solve the equation: 4*x+2*y-23.5 = 0
  • 4*x+2*y-23.5 = 0 // - 4*x-23.5
  • 2*y = -(4*x-23.5) // : 2
  • y = (-(4*x-23.5))/2
  • y = (23.5-(4*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((23.5-(4*x))/2)+2*x-18.5 = 0| y = (23.5-(4*x))/2
  • (4*(23.5-4*x))/2+2*x-18.5 = 0
  • 47-6*x-18.5 = 0
  • 28.5-6*x = 0
  • 28.5-6*x = 0 // - 28.5
  • -6*x = -28.5 // : -6
  • x = -28.5/(-6)
  • x = 4.75
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (23.5-(4*x))/2: 
  • y = (23.5-(4*4.75))/2
  • y = (23.5-19)/2
  • y = 4.5/2
  • y = 2.25
  • We get a system of equations:
  • /| y = 2.25| x = 4.75

 

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