5/2X-7/2Y=-1;8X+3Y=11

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

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


  • /| (5/2)*X-((7/2)*Y)+1 = 0| 8*X+3*Y-11 = 0
  • We try to solve the equation: (5/2)*X-((7/2)*Y)+1 = 0
  • 5/2*X-7/2*Y+1 = 0 // - 5/2*X+1
  • -7/2*Y = -(5/2*X+1) // : -7/2
  • Y = (-(5/2*X+1))/(-7/2)
  • Y = 2/7*(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:
  • /| 2/7*3*(5/2*X+1)+8*X-11 = 0| Y = 2/7*(5/2*X+1)
  • 6/7*(5/2*X+1)+8*X-11 = 0
  • 71/7*X-11+6/7 = 0
  • 71/7*X-71/7 = 0
  • 71/7*X-71/7 = 0 // + 71/7
  • 71/7*X = 71/7 // : 71/7
  • X = 71/7/71/7
  • X = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For Y = 2/7*(5/2*X+1): 
  • Y = 2/7*(1*5/2+1)
  • Y = 2/7*(1+5/2)
  • Y = 2/7*7/2
  • Y = 1
  • We get a system of equations:
  • /| Y = 1| X = 1

 

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