x+5y=-13;3x+2y=-13

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

Solution for x+5y=-13;3x+2y=-13 system of equations:


  • /| x+5*y+13 = 0| 3*x+2*y+13 = 0
  • We try to solve the equation: x+5*y+13 = 0
  • x+5*y+13 = 0 // - x+13
  • 5*y = -(x+13) // : 5
  • y = (-(x+13))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*((-(x+13))/5)+3*x+13 = 0| y = (-(x+13))/5
  • (2*(-x-13))/5+3*x+13 = 0
  • 13/5*x-26/5+13 = 0
  • 13/5*x+39/5 = 0
  • 13/5*x+39/5 = 0 // - 39/5
  • 13/5*x = -39/5 // : 13/5
  • x = -39/5/13/5
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(x+13))/5:
  • y = (-(13-3))/5
  • y = -10/5
  • y = -2
  • We get a system of equations:
  • /| y = -2| x = -3

 

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