-5x-3y=17;y=-4

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

Solution for -5x-3y=17;y=-4 system of equations: 


  • /| -5*x-(3*y)-17 = 0| y+4 = 0
  • We try to solve the equation: -5*x-(3*y)-17 = 0
  • -5*x-3*y-17 = 0 // + -5*x-17
  • -3*y = -(-5*x-17) // : -3
  • y = (-(-5*x-17))/(-3)
  • y = (17-(-5*x))/(-3)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (17-(-5*x))/(-3)+4 = 0| y = (17-(-5*x))/(-3)
  • (5*x+17)/(-3)+4 = 0
  • -5/3*x-5/3 = 0
  • -5/3*x-5/3 = 0 // + 5/3
  • -5/3*x = 5/3 // : -5/3
  • x = 5/3/(-5/3)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (17-(-5*x))/(-3): 
  • y = (17-(-5*(-1)))/(-3)
  • y = (17-(1*5))/(-3)
  • y = (17-5)/(-3)
  • y = 12/(-3)
  • y = -4
  • We get a system of equations:
  • /| y = -4| x = -1

 

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