3x+y=20;x+y=12

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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+y=20;x+y=12 system of equations: 


  • /| 3*x+y-20 = 0| x+y-12 = 0
  • We try to solve the equation: 3*x+y-20 = 0
  • 3*x+y-20 = 0 // - 3*x-20
  • y = -(3*x-20)
  • y = 20-(3*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(3*x)-12+20 = 0| y = 20-(3*x)
  • 8-2*x = 0 // - 8
  • -2*x = -8 // : -2
  • x = -8/(-2)
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 20-(3*x): 
  • y = 20-(3*4)
  • y = 20-12
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = 4

 

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