5x+y=7;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 5x+y=7;y=2x system of equations: 


  • /| 5*x+y-7 = 0| y-(2*x) = 0
  • We try to solve the equation: 5*x+y-7 = 0
  • 5*x+y-7 = 0 // - 5*x-7
  • y = -(5*x-7)
  • y = 7-(5*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7-(2*x)-(5*x) = 0| y = 7-(5*x)
  • 7-7*x = 0 // - 7
  • -7*x = -7 // : -7
  • x = -7/(-7)
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 7-(5*x): 
  • y = 7-(1*5)
  • y = 7-5
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 1

 

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