2x=-3y+17;8x-y+16

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

Solution for 2x=-3y+17;8x-y+16 system of equations: 


  • /| 2*x-(-3*y)-17 = 0| 8*x-y+16 = 0
  • We try to solve the equation: 2*x-(-3*y)-17 = 0
  • 2*x+3*y-17 = 0 // - 2*x-17
  • 3*y = -(2*x-17) // : 3
  • y = (-(2*x-17))/3
  • y = (17-(2*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*x-((17-(2*x))/3)+16 = 0| y = (17-(2*x))/3
  • (-1*(17-2*x))/3+8*x+16 = 0
  • 26/3*x-17/3+16 = 0
  • 26/3*x+31/3 = 0
  • 26/3*x+31/3 = 0 // - 31/3
  • 26/3*x = -31/3 // : 26/3
  • x = -31/3/26/3
  • x = -31/26
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (17-(2*x))/3: 
  • y = (17-(-31/26*2))/3
  • y = (31/13+17)/3
  • y = 252/13/3
  • y = 84/13
  • We get a system of equations:
  • /| y = 84/13| x = -31/26

 

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