15x-10y=-1;15y=-2/15+5/15x

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Solution for 15x-10y=-1;15y=-2/15+5/15x system of equations: 


  • /| 15*x-(10*y)+1 = 0| 15*y-((5/15)*x)-(-2/15) = 0
  • We try to solve the equation: 15*x-(10*y)+1 = 0
  • 15*x-10*y+1 = 0 // - 15*x+1
  • -10*y = -(15*x+1) // : -10
  • y = (-(15*x+1))/(-10)
  • y = (15*x+1)/10
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15*((15*x+1)/10)-((5/15)*x)-(-2/15) = 0| y = (15*x+1)/10
  • (15*(15*x+1))/10-x/3+2/15 = 0
  • 133/6*x+2/15+3/2 = 0
  • 133/6*x+49/30 = 0
  • 133/6*x+49/30 = 0 // - 49/30
  • 133/6*x = -49/30 // : 133/6
  • x = -49/30/133/6
  • x = -7/95
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15*x+1)/10: 
  • y = (1-7/95*15)/10
  • y = (1-21/19)/10
  • y = -2/19/10
  • y = -1/95
  • We get a system of equations:
  • /| y = -1/95| x = -7/95

 

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