6x+y=-7;9x-3y=-33

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

Solution for 6x+y=-7;9x-3y=-33 system of equations: 


  • /| 6*x+y+7 = 0| 9*x-(3*y)+33 = 0
  • We try to solve the equation: 6*x+y+7 = 0
  • 6*x+y+7 = 0 // - 6*x+7
  • y = -(6*x+7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 9*x-(3*(-(6*x+7)))+33 = 0| y = -(6*x+7)
  • 9*x-1*3*(-6*x-7)+33 = 0
  • 27*x+21+33 = 0
  • 27*x+54 = 0
  • 27*x+54 = 0 // - 54
  • 27*x = -54 // : 27
  • x = -54/27
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = -(6*x+7): 
  • y = -(7-2*6)
  • y = -(7-12)
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -2

 

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