7x+2y=10;-7x+y=-9

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

Solution for 7x+2y=10;-7x+y=-9 system of equations: 


  • /| 7*x+2*y-10 = 0| y-7*x+9 = 0
  • We try to solve the equation: 7*x+2*y-10 = 0
  • 7*x+2*y-10 = 0 // - 7*x-10
  • 2*y = -(7*x-10) // : 2
  • y = (-(7*x-10))/2
  • y = (10-(7*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (10-(7*x))/2-7*x+9 = 0| y = (10-(7*x))/2
  • (10-7*x)/2-7*x+9 = 0
  • 5-21/2*x+9 = 0
  • 14-21/2*x = 0
  • 14-21/2*x = 0 // - 14
  • -21/2*x = -14 // : -21/2
  • x = -14/(-21/2)
  • x = 4/3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (10-(7*x))/2: 
  • y = (10-(4/3*7))/2
  • y = (10-28/3)/2
  • y = 2/3/2
  • y = 1/3
  • We get a system of equations:
  • /| y = 1/3| x = 4/3

 

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