15x-20y=7;10y=-3+5x

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Solution for 15x-20y=7;10y=-3+5x system of equations: 


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