1/10x+6/10y=-21/10;9/10x-7/10y=51/2

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Solution for 1/10x+6/10y=-21/10;9/10x-7/10y=51/2 system of equations: 


  • /| (1/10)*x+(6/10)*y-(-21/10) = 0| (9/10)*x-((7/10)*y)-(51/2) = 0
  • We try to solve the equation: (1/10)*x+(6/10)*y-(-21/10) = 0
  • 1/10*x+3/5*y+21/10 = 0 // - 1/10*x+21/10
  • 3/5*y = -(1/10*x+21/10) // : 3/5
  • y = (-(1/10*x+21/10))/3/5
  • y = -5/3*(1/10*x+21/10)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (9/10)*x-(-5/3*(7/10)*(1/10*x+21/10))-(51/2) = 0| y = -5/3*(1/10*x+21/10)
  • (9*x)/10-7/6*(-1)*(1/10*x+21/10)-51/2 = 0
  • 61/60*x-51/2+49/20 = 0
  • 61/60*x-461/20 = 0
  • 61/60*x-461/20 = 0 // + 461/20
  • 61/60*x = 461/20 // : 61/60
  • x = 461/20/61/60
  • x = 1383/61
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -5/3*(1/10*x+21/10): 
  • y = -5/3*(1/10*1383/61+21/10)
  • y = -5/3*(21/10+1383/610)
  • y = -5/3*1332/305
  • y = -444/61
  • We get a system of equations:
  • /| y = -444/61| x = 1383/61

 

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