7x-3y=-10;-5x-12y=-7

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Solution for 7x-3y=-10;-5x-12y=-7 system of equations: 


  • /| 7*x-(3*y)+10 = 0| 7-5*x-(12*y) = 0
  • We try to solve the equation: 7*x-(3*y)+10 = 0
  • 7*x-3*y+10 = 0 // - 7*x+10
  • -3*y = -(7*x+10) // : -3
  • y = (-(7*x+10))/(-3)
  • y = (7*x+10)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7-(12*((7*x+10)/3))-5*x = 0| y = (7*x+10)/3
  • (-1*12*(7*x+10))/3-5*x+7 = 0
  • 7-33*x-40 = 0
  • -33*x-33 = 0
  • -33*x-33 = 0 // + 33
  • -33*x = 33 // : -33
  • x = 33/(-33)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (7*x+10)/3: 
  • y = (10-1*7)/3
  • y = (10-7)/3
  • y = 3/3
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = -1

 

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