3x+2y=17;2x-y=2

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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+2y=17;2x-y=2 system of equations: 


  • /| 3*x+2*y-17 = 0| 2*x-y-2 = 0
  • We try to solve the equation: 3*x+2*y-17 = 0
  • 3*x+2*y-17 = 0 // - 3*x-17
  • 2*y = -(3*x-17) // : 2
  • y = (-(3*x-17))/2
  • y = (17-(3*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-((17-(3*x))/2)-2 = 0| y = (17-(3*x))/2
  • (-1*(17-3*x))/2+2*x-2 = 0
  • 7/2*x-17/2-2 = 0
  • 7/2*x-21/2 = 0
  • 7/2*x-21/2 = 0 // + 21/2
  • 7/2*x = 21/2 // : 7/2
  • x = 21/2/7/2
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (17-(3*x))/2: 
  • y = (17-(3*3))/2
  • y = (17-9)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 3

 

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