6x+5y=-1;-7x+15y=-103

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Solution for 6x+5y=-1;-7x+15y=-103 system of equations: 


  • /| 6*x+5*y+1 = 0| 15*y-7*x+103 = 0
  • We try to solve the equation: 6*x+5*y+1 = 0
  • 6*x+5*y+1 = 0 // - 6*x+1
  • 5*y = -(6*x+1) // : 5
  • y = (-(6*x+1))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15*((-(6*x+1))/5)-7*x+103 = 0| y = (-(6*x+1))/5
  • (15*(-6*x-1))/5-7*x+103 = 0
  • 103-25*x-3 = 0
  • 100-25*x = 0
  • 100-25*x = 0 // - 100
  • -25*x = -100 // : -25
  • x = -100/(-25)
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(6*x+1))/5: 
  • y = (-(4*6+1))/5
  • y = (-(1+24))/5
  • y = -25/5
  • y = -5
  • We get a system of equations:
  • /| y = -5| x = 4

 

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