-x+5y=23;-x+y=11

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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=23;-x+y=11 system of equations: 


  • /| 5*y-x-23 = 0| y-x-11 = 0
  • We try to solve the equation: 5*y-x-23 = 0
  • 5*y-x-23 = 0 // + -x-23
  • 5*y = -(-x-23) // : 5
  • y = (-(-x-23))/5
  • y = (x+23)/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (x+23)/5-x-11 = 0| y = (x+23)/5
  • (x+23)/5-x-11 = 0
  • 23/5-4/5*x-11 = 0
  • -4/5*x-32/5 = 0
  • -4/5*x-32/5 = 0 // + 32/5
  • -4/5*x = 32/5 // : -4/5
  • x = 32/5/(-4/5)
  • x = -8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (x+23)/5: 
  • y = (23-8)/5
  • y = 15/5
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = -8

 

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