x+6y=-5;-6x+7y=30

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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+6y=-5;-6x+7y=30 system of equations: 


  • /| x+6*y+5 = 0| 7*y-6*x-30 = 0
  • We try to solve the equation: x+6*y+5 = 0
  • x+6*y+5 = 0 // - x+5
  • 6*y = -(x+5) // : 6
  • y = (-(x+5))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 7*((-(x+5))/6)-6*x-30 = 0| y = (-(x+5))/6
  • (7*(-x-5))/6-6*x-30 = 0
  • -43/6*x-30-35/6 = 0
  • -43/6*x-215/6 = 0
  • -43/6*x-215/6 = 0 // + 215/6
  • -43/6*x = 215/6 // : -43/6
  • x = 215/6/(-43/6)
  • x = -5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (-(x+5))/6: 
  • y = (-(5-5))/6
  • y = 0/6
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = -5

 

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