4(2x-y+3)-3(x-2y+3)=48;3(3x-4y+3)+4*4(4x-2y-9)=48

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Solution for 4(2x-y+3)-3(x-2y+3)=48;3(3x-4y+3)+4*4(4x-2y-9)=48 system of equations:


  • /| 4*(2*x-y+3)-(3*(x-(2*y)+3))-48 = 0| 3*(3*x-(4*y)+3)+4*4*(4*x-(2*y)-9)-48 = 0
  • We try to solve the equation: 4*(2*x-y+3)-(3*(x-(2*y)+3))-48 = 0
  • 4*(2*x-y+3)-1*3*(x-2*y+3)-48 = 0
  • 5*x+2*y-48+3 = 0
  • 5*x+2*y-45 = 0
  • 5*x+2*y-45 = 0 // - 5*x-45
  • 2*y = -(5*x-45) // : 2
  • y = (-(5*x-45))/2
  • y = (45-(5*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*(3*x-(4*((45-(5*x))/2))+3)+4*4*(4*x-(2*((45-(5*x))/2))-9)-48 = 0| y = (45-(5*x))/2
  • 3*((-1*4*(45-5*x))/2+3*x+3)+16*((-1*2*(45-5*x))/2+4*x-9)-48 = 0
  • 183*x-1125-48 = 0
  • 183*x-1173 = 0
  • 183*x-1173 = 0 // + 1173
  • 183*x = 1173 // : 183
  • x = 1173/183
  • x = 391/61
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (45-(5*x))/2:
  • y = (45-(5*391/61))/2
  • y = (45-1955/61)/2
  • y = 790/61/2
  • y = 395/61
  • We get a system of equations:
  • /| y = 395/61| x = 391/61

 

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