3x+5y=-8;x-15y=-36

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

Solution for 3x+5y=-8;x-15y=-36 system of equations: 


  • /| 3*x+5*y+8 = 0| x-(15*y)+36 = 0
  • We try to solve the equation: 3*x+5*y+8 = 0
  • 3*x+5*y+8 = 0 // - 3*x+8
  • 5*y = -(3*x+8) // : 5
  • y = (-(3*x+8))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(15*((-(3*x+8))/5))+36 = 0| y = (-(3*x+8))/5
  • (-1*15*(-3*x-8))/5+x+36 = 0
  • 10*x+24+36 = 0
  • 10*x+60 = 0
  • 10*x+60 = 0 // - 60
  • 10*x = -60 // : 10
  • x = -60/10
  • x = -6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(3*x+8))/5: 
  • y = (-(8-6*3))/5
  • y = (-(8-18))/5
  • y = 10/5
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -6

 

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