4x+13y=87;13x+3y=8

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 4x+13y=87;13x+3y=8 system of equations: 


  • /| 4*x+13*y-87 = 0| 13*x+3*y-8 = 0
  • We try to solve the equation: 4*x+13*y-87 = 0
  • 4*x+13*y-87 = 0 // - 4*x-87
  • 13*y = -(4*x-87) // : 13
  • y = (-(4*x-87))/13
  • y = (87-(4*x))/13
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 3*((87-(4*x))/13)+13*x-8 = 0| y = (87-(4*x))/13
  • (3*(87-4*x))/13+13*x-8 = 0
  • 157/13*x-8+261/13 = 0
  • 157/13*x+157/13 = 0
  • 157/13*x+157/13 = 0 // - 157/13
  • 157/13*x = -157/13 // : 157/13
  • x = -157/13/157/13
  • x = -1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (87-(4*x))/13: 
  • y = (87-(-1*4))/13
  • y = (4+87)/13
  • y = 91/13
  • y = 7
  • We get a system of equations:
  • /| y = 7| x = -1

 

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