4x+3y=6;2x+7y=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 4x+3y=6;2x+7y=14 system of equations: 


  • /| 4*x+3*y-6 = 0| 2*x+7*y-14 = 0
  • We try to solve the equation: 4*x+3*y-6 = 0
  • 4*x+3*y-6 = 0 // - 4*x-6
  • 3*y = -(4*x-6) // : 3
  • y = (-(4*x-6))/3
  • y = (6-(4*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((6-(4*x))/3)+2*x-14 = 0| y = (6-(4*x))/3
  • (7*(6-4*x))/3+2*x-14 = 0
  • 14-22/3*x-14 = 0
  • -22/3*x = 0
  • -22/3*x = 0 // : -22/3
  • x = 0
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(4*x))/3: 
  • y = (6-(0*4))/3
  • y = (0+6)/3
  • y = 6/3
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 0

 

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