x-7y=41;4x+6y=-6

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Solution for x-7y=41;4x+6y=-6 system of equations: 


  • /| x-(7*y)-41 = 0| 4*x+6*y+6 = 0
  • We try to solve the equation: x-(7*y)-41 = 0
  • x-7*y-41 = 0 // - x-41
  • -7*y = -(x-41) // : -7
  • y = (-(x-41))/(-7)
  • y = (41-x)/(-7)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 6*((41-x)/(-7))+4*x+6 = 0| y = (41-x)/(-7)
  • (6*(41-x))/(-7)+4*x+6 = 0
  • 34/7*x-246/7+6 = 0
  • 34/7*x-204/7 = 0
  • 34/7*x-204/7 = 0 // + 204/7
  • 34/7*x = 204/7 // : 34/7
  • x = 204/7/34/7
  • x = 6
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (41-x)/(-7): 
  • y = (41-6)/(-7)
  • y = 35/(-7)
  • y = -5
  • We get a system of equations:
  • /| y = -5| x = 6

 

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