x=12+y;18x-12y=18

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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=12+y;18x-12y=18 system of equations: 


  • /| x-y-12 = 0| 18*x-(12*y)-18 = 0
  • We try to solve the equation: x-y-12 = 0
  • x-y-12 = 0 // - x-12
  • -y = -(x-12) // * -1
  • y = x-12
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 18*x-(12*(x-12))-18 = 0| y = x-12
  • 18*x-1*12*(x-12)-18 = 0
  • 6*x-18+144 = 0
  • 6*x+126 = 0
  • 6*x+126 = 0 // - 126
  • 6*x = -126 // : 6
  • x = -126/6
  • x = -21
  • We insert the solution into one of the initial equations of our system of equations
  • For y = x-12: 
  • y = -21-12
  • y = -(12+21)
  • y = -33
  • We get a system of equations:
  • /| y = -33| x = -21

 

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