9x+2y=4;2x-4y=4

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

Solution for 9x+2y=4;2x-4y=4 system of equations: 


  • /| 9*x+2*y-4 = 0| 2*x-(4*y)-4 = 0
  • We try to solve the equation: 9*x+2*y-4 = 0
  • 9*x+2*y-4 = 0 // - 9*x-4
  • 2*y = -(9*x-4) // : 2
  • y = (-(9*x-4))/2
  • y = (4-(9*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-(4*((4-(9*x))/2))-4 = 0| y = (4-(9*x))/2
  • (-1*4*(4-9*x))/2+2*x-4 = 0
  • 20*x-8-4 = 0
  • 20*x-12 = 0
  • 20*x-12 = 0 // + 12
  • 20*x = 12 // : 20
  • x = 12/20
  • x = 3/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4-(9*x))/2: 
  • y = (4-(3/5*9))/2
  • y = (4-27/5)/2
  • y = -7/5/2
  • y = -7/10
  • We get a system of equations:
  • /| y = -7/10| x = 3/5

 

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