-15x-10y=1;15y=1+10x

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

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


  • /| -15*x-(10*y)-1 = 0| 15*y-(10*x)-1 = 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 = (1-(-15*x))/(-10)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15*((1-(-15*x))/(-10))-(10*x)-1 = 0| y = (1-(-15*x))/(-10)
  • (15*(15*x+1))/(-10)-10*x-1 = 0
  • -65/2*x-3/2-1 = 0
  • -65/2*x-5/2 = 0
  • -65/2*x-5/2 = 0 // + 5/2
  • -65/2*x = 5/2 // : -65/2
  • x = 5/2/(-65/2)
  • x = -1/13
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(-15*x))/(-10): 
  • y = (1-(-15*(-1/13)))/(-10)
  • y = (1-(1/13*15))/(-10)
  • y = (1-15/13)/(-10)
  • y = -2/13/(-10)
  • y = 2/13/10
  • y = 1/65
  • We get a system of equations:
  • /| y = 1/65| x = -1/13

 

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