4x+5y=13;8x-2y=14

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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+5y=13;8x-2y=14 system of equations: 


  • /| 4*x+5*y-13 = 0| 8*x-(2*y)-14 = 0
  • We try to solve the equation: 4*x+5*y-13 = 0
  • 4*x+5*y-13 = 0 // - 4*x-13
  • 5*y = -(4*x-13) // : 5
  • y = (-(4*x-13))/5
  • y = (13-(4*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 8*x-(2*((13-(4*x))/5))-14 = 0| y = (13-(4*x))/5
  • (-1*2*(13-4*x))/5+8*x-14 = 0
  • 48/5*x-14-26/5 = 0
  • 48/5*x-96/5 = 0
  • 48/5*x-96/5 = 0 // + 96/5
  • 48/5*x = 96/5 // : 48/5
  • x = 96/5/48/5
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (13-(4*x))/5: 
  • y = (13-(2*4))/5
  • y = (13-8)/5
  • y = 5/5
  • y = 1
  • We get a system of equations:
  • /| y = 1| x = 2

 

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