4x-7y=-46;-8x+4y=32

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Solution for 4x-7y=-46;-8x+4y=32 system of equations: 


  • /| 4*x-(7*y)+46 = 0| 4*y-8*x-32 = 0
  • We try to solve the equation: 4*x-(7*y)+46 = 0
  • 4*x-7*y+46 = 0 // - 4*x+46
  • -7*y = -(4*x+46) // : -7
  • y = (-(4*x+46))/(-7)
  • y = (4*x+46)/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((4*x+46)/7)-8*x-32 = 0| y = (4*x+46)/7
  • (4*(4*x+46))/7-8*x-32 = 0
  • 184/7-40/7*x-32 = 0
  • -40/7*x-40/7 = 0
  • -40/7*x-40/7 = 0 // + 40/7
  • -40/7*x = 40/7 // : -40/7
  • x = 40/7/(-40/7)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+46)/7: 
  • y = (46-1*4)/7
  • y = (46-4)/7
  • y = 42/7
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = -1

 

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