3x+y=15;y=2x

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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=15;y=2x system of equations: 


  • /| 3*x+y-15 = 0| y-(2*x) = 0
  • We try to solve the equation: 3*x+y-15 = 0
  • 3*x+y-15 = 0 // - 3*x-15
  • y = -(3*x-15)
  • y = 15-(3*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15-(2*x)-(3*x) = 0| y = 15-(3*x)
  • 15-5*x = 0 // - 15
  • -5*x = -15 // : -5
  • x = -15/(-5)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 15-(3*x): 
  • y = 15-(3*3)
  • y = 15-9
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = 3

 

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