3x+2y=24;15x-2y=48

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Solution for 3x+2y=24;15x-2y=48 system of equations: 


  • /| 3*x+2*y-24 = 0| 15*x-(2*y)-48 = 0
  • We try to solve the equation: 3*x+2*y-24 = 0
  • 3*x+2*y-24 = 0 // - 3*x-24
  • 2*y = -(3*x-24) // : 2
  • y = (-(3*x-24))/2
  • y = (24-(3*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 15*x-(2*((24-(3*x))/2))-48 = 0| y = (24-(3*x))/2
  • (-1*2*(24-3*x))/2+15*x-48 = 0
  • 18*x-48-24 = 0
  • 18*x-72 = 0
  • 18*x-72 = 0 // + 72
  • 18*x = 72 // : 18
  • x = 72/18
  • x = 4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (24-(3*x))/2: 
  • y = (24-(3*4))/2
  • y = (24-12)/2
  • y = 12/2
  • y = 6
  • We get a system of equations:
  • /| y = 6| x = 4

 

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