y=2x-3;x+y=5

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

Solution for y=2x-3;x+y=5 system of equations: 


  • /| y-(2*x)+3 = 0| x+y-5 = 0
  • We try to solve the equation: y-(2*x)+3 = 0
  • y-2*x+3 = 0 // - 3-2*x
  • y = -(3-2*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(-2*x)-5-3 = 0| y = -(3-2*x)
  • 3*x-8 = 0 // + 8
  • 3*x = 8 // : 3
  • x = 8/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(3-2*x): 
  • y = -(3-2*(8/3))
  • y = -(3-2*8/3)
  • y = -(3-16/3)
  • y = 7/3
  • We get a system of equations:
  • /| y = 7/3| x = 8/3

 

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