8x-9y=32.5;7y-2x=-10.5

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

Solution for 8x-9y=32.5;7y-2x=-10.5 system of equations: 


  • /| 8*x-(9*y)-32.5 = 0| 7*y-(2*x)+10.5 = 0
  • We try to solve the equation: 8*x-(9*y)-32.5 = 0
  • 8*x-9*y-32.5 = 0 // - 8*x-32.5
  • -9*y = -(8*x-32.5) // : -9
  • y = (-(8*x-32.5))/(-9)
  • y = (32.5-(8*x))/(-9)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((32.5-(8*x))/(-9))-(2*x)+10.5 = 0| y = (32.5-(8*x))/(-9)
  • (7*(32.5-8*x))/(-9)-2*x+10.5 = 0
  • 38/9*x-25.277777525+10.5 = 0
  • 38/9*x-14.777777525 = 0
  • 38/9*x-14.777777525 = 0 // + 14.777777525
  • 38/9*x = 14.777777525 // : 38/9
  • x = 14.777777525/38/9
  • x = 3.49999994
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (32.5-(8*x))/(-9): 
  • y = (32.5-(3.49999994*8))/(-9)
  • y = (32.5-27.99999952)/(-9)
  • y = 4.50000048/(-9)
  • y = -0.50000005
  • We get a system of equations:
  • /| y = -0.50000005| x = 3.49999994

 

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