3x+2y=14;x-4y=-14

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 3x+2y=14;x-4y=-14 system of equations: 


  • /| 3*x+2*y-14 = 0| x-(4*y)+14 = 0
  • We try to solve the equation: 3*x+2*y-14 = 0
  • 3*x+2*y-14 = 0 // - 3*x-14
  • 2*y = -(3*x-14) // : 2
  • y = (-(3*x-14))/2
  • y = (14-(3*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(4*((14-(3*x))/2))+14 = 0| y = (14-(3*x))/2
  • (-1*4*(14-3*x))/2+x+14 = 0
  • 7*x-28+14 = 0
  • 7*x-14 = 0
  • 7*x-14 = 0 // + 14
  • 7*x = 14 // : 7
  • x = 14/7
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (14-(3*x))/2: 
  • y = (14-(2*3))/2
  • y = (14-6)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 2

 

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