x+4y=6;3x-4y=6

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

Solution for x+4y=6;3x-4y=6 system of equations: 


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

 

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