x+2y=9;x-3y=-1

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

Solution for x+2y=9;x-3y=-1 system of equations: 


  • /| x+2*y-9 = 0| x-(3*y)+1 = 0
  • We try to solve the equation: x+2*y-9 = 0
  • x+2*y-9 = 0 // - x-9
  • 2*y = -(x-9) // : 2
  • y = (-(x-9))/2
  • y = (9-x)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(3*((9-x)/2))+1 = 0| y = (9-x)/2
  • (-1*3*(9-x))/2+x+1 = 0
  • 5/2*x-27/2+1 = 0
  • 5/2*x-25/2 = 0
  • 5/2*x-25/2 = 0 // + 25/2
  • 5/2*x = 25/2 // : 5/2
  • x = 25/2/5/2
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (9-x)/2: 
  • y = (9-5)/2
  • y = 4/2
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 5

 

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