5/2x-7/3y=-1;8x+3y=11

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2x+y=8
x+3y=14

Solution for 5/2x-7/3y=-1;8x+3y=11 system of equations: 


  • /| (5/2)*x-((7/3)*y)+1 = 0| 8*x+3*y-11 = 0
  • We try to solve the equation: (5/2)*x-((7/3)*y)+1 = 0
  • 5/2*x-7/3*y+1 = 0 // - 5/2*x+1
  • -7/3*y = -(5/2*x+1) // : -7/3
  • y = (-(5/2*x+1))/(-7/3)
  • y = 3/7*(5/2*x+1)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3/7*3*(5/2*x+1)+8*x-11 = 0| y = 3/7*(5/2*x+1)
  • 9/7*(5/2*x+1)+8*x-11 = 0
  • 157/14*x-11+9/7 = 0
  • 157/14*x-68/7 = 0
  • 157/14*x-68/7 = 0 // + 68/7
  • 157/14*x = 68/7 // : 157/14
  • x = 68/7/157/14
  • x = 136/157
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3/7*(5/2*x+1): 
  • y = 3/7*(136/157*5/2+1)
  • y = 3/7*(1+340/157)
  • y = 3/7*497/157
  • y = 213/157
  • We get a system of equations:
  • /| y = 213/157| x = 136/157

 

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