4x+7y=60;-4x+7y=-4

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Solution for 4x+7y=60;-4x+7y=-4 system of equations: 


  • /| 4*x+7*y-60 = 0| 7*y-4*x+4 = 0
  • We try to solve the equation: 4*x+7*y-60 = 0
  • 4*x+7*y-60 = 0 // - 4*x-60
  • 7*y = -(4*x-60) // : 7
  • y = (-(4*x-60))/7
  • y = (60-(4*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((60-(4*x))/7)-4*x+4 = 0| y = (60-(4*x))/7
  • (7*(60-4*x))/7-4*x+4 = 0
  • 4-8*x+60 = 0
  • 64-8*x = 0
  • 64-8*x = 0 // - 64
  • -8*x = -64 // : -8
  • x = -64/(-8)
  • x = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (60-(4*x))/7: 
  • y = (60-(4*8))/7
  • y = (60-32)/7
  • y = 28/7
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 8

 

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