x-5y=-4;x+8y=-4

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

Solution for x-5y=-4;x+8y=-4 system of equations: 


  • /| x-(5*y)+4 = 0| x+8*y+4 = 0
  • We try to solve the equation: x-(5*y)+4 = 0
  • x-5*y+4 = 0 // - x+4
  • -5*y = -(x+4) // : -5
  • y = (-(x+4))/(-5)
  • y = (x+4)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((x+4)/5)+x+4 = 0| y = (x+4)/5
  • (8*(x+4))/5+x+4 = 0
  • 13/5*x+4+32/5 = 0
  • 13/5*x+52/5 = 0
  • 13/5*x+52/5 = 0 // - 52/5
  • 13/5*x = -52/5 // : 13/5
  • x = -52/5/13/5
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+4)/5: 
  • y = (4-4)/5
  • y = 0/5
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = -4

 

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