3x+y=8;x-2y=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 3x+y=8;x-2y=5 system of equations: 


  • /| 3*x+y-8 = 0| x-(2*y)-5 = 0
  • We try to solve the equation: 3*x+y-8 = 0
  • 3*x+y-8 = 0 // - 3*x-8
  • y = -(3*x-8)
  • y = 8-(3*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(2*(8-(3*x)))-5 = 0| y = 8-(3*x)
  • x-1*2*(8-3*x)-5 = 0
  • 7*x-16-5 = 0
  • 7*x-21 = 0
  • 7*x-21 = 0 // + 21
  • 7*x = 21 // : 7
  • x = 21/7
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 8-(3*x): 
  • y = 8-(3*3)
  • y = 8-9
  • y = -1
  • We get a system of equations:
  • /| y = -1| x = 3

 

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