3x-2y=-2;9x+5y=38

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Solution for 3x-2y=-2;9x+5y=38 system of equations: 


  • /| 3*x-(2*y)+2 = 0| 9*x+5*y-38 = 0
  • We try to solve the equation: 3*x-(2*y)+2 = 0
  • 3*x-2*y+2 = 0 // - 3*x+2
  • -2*y = -(3*x+2) // : -2
  • y = (-(3*x+2))/(-2)
  • y = (3*x+2)/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 5*((3*x+2)/2)+9*x-38 = 0| y = (3*x+2)/2
  • (5*(3*x+2))/2+9*x-38 = 0
  • 33/2*x-38+5 = 0
  • 33/2*x-33 = 0
  • 33/2*x-33 = 0 // + 33
  • 33/2*x = 33 // : 33/2
  • x = 33/33/2
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (3*x+2)/2: 
  • y = (2*3+2)/2
  • y = (2+6)/2
  • y = 8/2
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 2

 

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