15x-20y=-7;10y=5+15x

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Solution for 15x-20y=-7;10y=5+15x system of equations: 


  • /| 15*x-(20*y)+7 = 0| 10*y-(15*x)-5 = 0
  • We try to solve the equation: 15*x-(20*y)+7 = 0
  • 15*x-20*y+7 = 0 // - 15*x+7
  • -20*y = -(15*x+7) // : -20
  • y = (-(15*x+7))/(-20)
  • y = (15*x+7)/20
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 10*((15*x+7)/20)-(15*x)-5 = 0| y = (15*x+7)/20
  • (10*(15*x+7))/20-15*x-5 = 0
  • 7/2-15/2*x-5 = 0
  • -15/2*x-3/2 = 0
  • -15/2*x-3/2 = 0 // + 3/2
  • -15/2*x = 3/2 // : -15/2
  • x = 3/2/(-15/2)
  • x = -1/5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15*x+7)/20: 
  • y = (7-1/5*15)/20
  • y = (7-3)/20
  • y = 4/20
  • y = 1/5
  • We get a system of equations:
  • /| y = 1/5| x = -1/5

 

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