3/11x-1/2y=5/11;2/5x-1/3y=2/15

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

Solution for 3/11x-1/2y=5/11;2/5x-1/3y=2/15 system of equations:


  • /| (3/11)*x-((1/2)*y)-(5/11) = 0| (2/5)*x-((1/3)*y)-(2/15) = 0
  • We try to solve the equation: (3/11)*x-((1/2)*y)-(5/11) = 0
  • 3/11*x-1/2*y-5/11 = 0 // - 3/11*x-5/11
  • -1/2*y = -(3/11*x-5/11) // : -1/2
  • y = (-(3/11*x-5/11))/(-1/2)
  • y = -2*(5/11-(3/11*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (2/5)*x-(-2*(1/3)*(5/11-(3/11*x)))-(2/15) = 0| y = -2*(5/11-(3/11*x))
  • (2*x)/5-1*(-2/3)*(5/11-3/11*x)-2/15 = 0
  • 12/55*x-2/15+10/33 = 0
  • 12/55*x+28/165 = 0
  • 12/55*x+28/165 = 0 // - 28/165
  • 12/55*x = -28/165 // : 12/55
  • x = -28/165/12/55
  • x = -7/9
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -2*(5/11-(3/11*x)):
  • y = -2*(5/11-(-7/9*3/11))
  • y = -2*(7/33+5/11)
  • y = -2*2/3
  • y = -4/3
  • We get a system of equations:
  • /| y = -4/3| x = -7/9

 

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