2x+5y=-6;2x-10/3y=-12

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x+3y=14

Solution for 2x+5y=-6;2x-10/3y=-12 system of equations: 


  • /| 2*x+5*y+6 = 0| 2*x-((10/3)*y)+12 = 0
  • We try to solve the equation: 2*x+5*y+6 = 0
  • 2*x+5*y+6 = 0 // - 2*x+6
  • 5*y = -(2*x+6) // : 5
  • y = (-(2*x+6))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*x-((10/3)*((-(2*x+6))/5))+12 = 0| y = (-(2*x+6))/5
  • (-1*10/3*(-2*x-6))/5+2*x+12 = 0
  • 10/3*x+4+12 = 0
  • 10/3*x+16 = 0
  • 10/3*x+16 = 0 // - 16
  • 10/3*x = -16 // : 10/3
  • x = -16/10/3
  • x = -24/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(2*x+6))/5: 
  • y = (-(6-24/5*2))/5
  • y = (-(6-48/5))/5
  • y = 18/5/5
  • y = 18/25
  • We get a system of equations:
  • /| y = 18/25| x = -24/5

 

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