3x-5y=-35;3x+10y=115

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Solution for 3x-5y=-35;3x+10y=115 system of equations: 


  • /| 3*x-(5*y)+35 = 0| 3*x+10*y-115 = 0
  • We try to solve the equation: 3*x-(5*y)+35 = 0
  • 3*x-5*y+35 = 0 // - 3*x+35
  • -5*y = -(3*x+35) // : -5
  • y = (-(3*x+35))/(-5)
  • y = (3*x+35)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 10*((3*x+35)/5)+3*x-115 = 0| y = (3*x+35)/5
  • (10*(3*x+35))/5+3*x-115 = 0
  • 9*x-115+70 = 0
  • 9*x-45 = 0
  • 9*x-45 = 0 // + 45
  • 9*x = 45 // : 9
  • x = 45/9
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3*x+35)/5: 
  • y = (3*5+35)/5
  • y = (15+35)/5
  • y = 50/5
  • y = 10
  • We get a system of equations:
  • /| y = 10| x = 5

 

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