4x=3y-3;-12x+8y=12

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 4x=3y-3;-12x+8y=12 system of equations: 


  • /| 4*x-(3*y)+3 = 0| 8*y-12*x-12 = 0
  • We try to solve the equation: 4*x-(3*y)+3 = 0
  • 4*x-3*y+3 = 0 // - 4*x+3
  • -3*y = -(4*x+3) // : -3
  • y = (-(4*x+3))/(-3)
  • y = (4*x+3)/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*((4*x+3)/3)-12*x-12 = 0| y = (4*x+3)/3
  • (8*(4*x+3))/3-12*x-12 = 0
  • 8-4/3*x-12 = 0
  • -4/3*x-4 = 0
  • -4/3*x-4 = 0 // + 4
  • -4/3*x = 4 // : -4/3
  • x = 4/(-4/3)
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4*x+3)/3: 
  • y = (3-3*4)/3
  • y = (3-12)/3
  • y = -9/3
  • y = -3
  • We get a system of equations:
  • /| y = -3| x = -3

 

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