3x+5y=-23;4x+2y=-12

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

Solution for 3x+5y=-23;4x+2y=-12 system of equations: 


  • /| 3*x+5*y+23 = 0| 4*x+2*y+12 = 0
  • We try to solve the equation: 3*x+5*y+23 = 0
  • 3*x+5*y+23 = 0 // - 3*x+23
  • 5*y = -(3*x+23) // : 5
  • y = (-(3*x+23))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((-(3*x+23))/5)+4*x+12 = 0| y = (-(3*x+23))/5
  • (2*(-3*x-23))/5+4*x+12 = 0
  • 14/5*x-46/5+12 = 0
  • 14/5*x+14/5 = 0
  • 14/5*x+14/5 = 0 // - 14/5
  • 14/5*x = -14/5 // : 14/5
  • x = -14/5/14/5
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+23))/5: 
  • y = (-(23-1*3))/5
  • y = (-(23-3))/5
  • y = -20/5
  • y = -4
  • We get a system of equations:
  • /| y = -4| x = -1

 

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