x+11y=52;2x+3y=9

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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+11y=52;2x+3y=9 system of equations: 


  • /| x+11*y-52 = 0| 2*x+3*y-9 = 0
  • We try to solve the equation: x+11*y-52 = 0
  • x+11*y-52 = 0 // - x-52
  • 11*y = -(x-52) // : 11
  • y = (-(x-52))/11
  • y = (52-x)/11
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((52-x)/11)+2*x-9 = 0| y = (52-x)/11
  • (3*(52-x))/11+2*x-9 = 0
  • 19/11*x-9+156/11 = 0
  • 19/11*x+57/11 = 0
  • 19/11*x+57/11 = 0 // - 57/11
  • 19/11*x = -57/11 // : 19/11
  • x = -57/11/19/11
  • x = -3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (52-x)/11: 
  • y = (3+52)/11
  • y = 55/11
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -3

 

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