7x-4y=76;5x+2y=-4

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Solution for 7x-4y=76;5x+2y=-4 system of equations: 


  • /| 7*x-(4*y)-76 = 0| 5*x+2*y+4 = 0
  • We try to solve the equation: 7*x-(4*y)-76 = 0
  • 7*x-4*y-76 = 0 // - 7*x-76
  • -4*y = -(7*x-76) // : -4
  • y = (-(7*x-76))/(-4)
  • y = (76-(7*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((76-(7*x))/(-4))+5*x+4 = 0| y = (76-(7*x))/(-4)
  • (2*(76-7*x))/(-4)+5*x+4 = 0
  • 17/2*x-38+4 = 0
  • 17/2*x-34 = 0
  • 17/2*x-34 = 0 // + 34
  • 17/2*x = 34 // : 17/2
  • x = 34/17/2
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (76-(7*x))/(-4): 
  • y = (76-(4*7))/(-4)
  • y = (76-28)/(-4)
  • y = 48/(-4)
  • y = -12
  • We get a system of equations:
  • /| y = -12| x = 4

 

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