6x+4y=18;2x-6y=-16

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

Solution for 6x+4y=18;2x-6y=-16 system of equations: 


  • /| 6*x+4*y-18 = 0| 2*x-(6*y)+16 = 0
  • We try to solve the equation: 6*x+4*y-18 = 0
  • 6*x+4*y-18 = 0 // - 6*x-18
  • 4*y = -(6*x-18) // : 4
  • y = (-(6*x-18))/4
  • y = (18-(6*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-(6*((18-(6*x))/4))+16 = 0| y = (18-(6*x))/4
  • (-1*6*(18-6*x))/4+2*x+16 = 0
  • 11*x-27+16 = 0
  • 11*x-11 = 0
  • 11*x-11 = 0 // + 11
  • 11*x = 11 // : 11
  • x = 11/11
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (18-(6*x))/4: 
  • y = (18-(1*6))/4
  • y = (18-6)/4
  • y = 12/4
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 1

 

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