14x-12y=7;21x+18y=21

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

Solution for 14x-12y=7;21x+18y=21 system of equations: 


  • /| 14*x-(12*y)-7 = 0| 21*x+18*y-21 = 0
  • We try to solve the equation: 14*x-(12*y)-7 = 0
  • 14*x-12*y-7 = 0 // - 14*x-7
  • -12*y = -(14*x-7) // : -12
  • y = (-(14*x-7))/(-12)
  • y = (7-(14*x))/(-12)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 18*((7-(14*x))/(-12))+21*x-21 = 0| y = (7-(14*x))/(-12)
  • (18*(7-14*x))/(-12)+21*x-21 = 0
  • 42*x-21-21/2 = 0
  • 42*x-63/2 = 0
  • 42*x-63/2 = 0 // + 63/2
  • 42*x = 63/2 // : 42
  • x = 63/2/42
  • x = 3/4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7-(14*x))/(-12): 
  • y = (7-(3/4*14))/(-12)
  • y = (7-21/2)/(-12)
  • y = -7/2/(-12)
  • y = 7/2/12
  • y = 7/24
  • We get a system of equations:
  • /| y = 7/24| x = 3/4

 

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