16x-20y=88;21y-49x=-189

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Solution for 16x-20y=88;21y-49x=-189 system of equations: 


  • /| 16*x-(20*y)-88 = 0| 21*y-(49*x)+189 = 0
  • We try to solve the equation: 16*x-(20*y)-88 = 0
  • 16*x-20*y-88 = 0 // - 16*x-88
  • -20*y = -(16*x-88) // : -20
  • y = (-(16*x-88))/(-20)
  • y = (88-(16*x))/(-20)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 21*((88-(16*x))/(-20))-(49*x)+189 = 0| y = (88-(16*x))/(-20)
  • (21*(88-16*x))/(-20)-49*x+189 = 0
  • 189-161/5*x-462/5 = 0
  • 483/5-161/5*x = 0
  • 483/5-161/5*x = 0 // - 483/5
  • -161/5*x = -483/5 // : -161/5
  • x = -483/5/(-161/5)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (88-(16*x))/(-20): 
  • y = (88-(3*16))/(-20)
  • y = (88-48)/(-20)
  • y = 40/(-20)
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = 3

 

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