6x+7y=15;-6x+4y=18

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for example:
2x+y=8
x+3y=14

Solution for 6x+7y=15;-6x+4y=18 system of equations: 


  • /| 6*x+7*y-15 = 0| 4*y-6*x-18 = 0
  • We try to solve the equation: 6*x+7*y-15 = 0
  • 6*x+7*y-15 = 0 // - 6*x-15
  • 7*y = -(6*x-15) // : 7
  • y = (-(6*x-15))/7
  • y = (15-(6*x))/7
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((15-(6*x))/7)-6*x-18 = 0| y = (15-(6*x))/7
  • (4*(15-6*x))/7-6*x-18 = 0
  • 60/7-66/7*x-18 = 0
  • -66/7*x-66/7 = 0
  • -66/7*x-66/7 = 0 // + 66/7
  • -66/7*x = 66/7 // : -66/7
  • x = 66/7/(-66/7)
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (15-(6*x))/7: 
  • y = (15-(-1*6))/7
  • y = (6+15)/7
  • y = 21/7
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -1

 

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