5x-2y=-7;3x+y=-2

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

Solution for 5x-2y=-7;3x+y=-2 system of equations: 


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

 

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