11x-5y=-253;2x+1y=-46

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Solution for 11x-5y=-253;2x+1y=-46 system of equations: 


  • /| 11*x-(5*y)+253 = 0| 2*x+1*y+46 = 0
  • We try to solve the equation: 11*x-(5*y)+253 = 0
  • 11*x-5*y+253 = 0 // - 11*x+253
  • -5*y = -(11*x+253) // : -5
  • y = (-(11*x+253))/(-5)
  • y = (11*x+253)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 1*((11*x+253)/5)+2*x+46 = 0| y = (11*x+253)/5
  • (1*(11*x+253))/5+2*x+46 = 0
  • 21/5*x+46+253/5 = 0
  • 21/5*x+483/5 = 0
  • 21/5*x+483/5 = 0 // - 483/5
  • 21/5*x = -483/5 // : 21/5
  • x = -483/5/21/5
  • x = -23
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (11*x+253)/5: 
  • y = (253-23*11)/5
  • y = (253-253)/5
  • y = 0/5
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = -23

 

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