4x+2y=147;2x+2y=77

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for example:
2x+y=8
x+3y=14

Solution for 4x+2y=147;2x+2y=77 system of equations: 


  • /| 4*x+2*y-147 = 0| 2*x+2*y-77 = 0
  • We try to solve the equation: 4*x+2*y-147 = 0
  • 4*x+2*y-147 = 0 // - 4*x-147
  • 2*y = -(4*x-147) // : 2
  • y = (-(4*x-147))/2
  • y = (147-(4*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((147-(4*x))/2)+2*x-77 = 0| y = (147-(4*x))/2
  • (2*(147-4*x))/2+2*x-77 = 0
  • 147-2*x-77 = 0
  • 70-2*x = 0
  • 70-2*x = 0 // - 70
  • -2*x = -70 // : -2
  • x = -70/(-2)
  • x = 35
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (147-(4*x))/2: 
  • y = (147-(4*35))/2
  • y = (147-140)/2
  • y = 7/2
  • We get a system of equations:
  • /| y = 7/2| x = 35

 

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