3x+2y+2=-13+7y-x;x+x=y+3

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for example:
2x+y=8
x+3y=14

Solution for 3x+2y+2=-13+7y-x;x+x=y+3 system of equations: 


  • /| 3*x+x+2*y-(7*y)+2+13 = 0| x+x-y-3 = 0
  • We try to solve the equation: 3*x+x+2*y-(7*y)+2+13 = 0
  • 4*x-5*y+15 = 0 // - 4*x+15
  • -5*y = -(4*x+15) // : -5
  • y = (-(4*x+15))/(-5)
  • y = (4*x+15)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-((4*x+15)/5)+x-3 = 0| y = (4*x+15)/5
  • (-1*(4*x+15))/5+x+x-3 = 0
  • 1/5*x+x-3-3 = 0
  • 6/5*x-3-3 = 0
  • 6/5*x-6 = 0
  • 6/5*x-6 = 0 // + 6
  • 6/5*x = 6 // : 6/5
  • x = 6/6/5
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+15)/5: 
  • y = (4*5+15)/5
  • y = (15+20)/5
  • y = 35/5
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = 5

 

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