2x+5y=8;x-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 2x+5y=8;x-3y=8 system of equations: 


  • /| 2*x+5*y-8 = 0| x-(3*y)-8 = 0
  • We try to solve the equation: 2*x+5*y-8 = 0
  • 2*x+5*y-8 = 0 // - 2*x-8
  • 5*y = -(2*x-8) // : 5
  • y = (-(2*x-8))/5
  • y = (8-(2*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(3*((8-(2*x))/5))-8 = 0| y = (8-(2*x))/5
  • (-1*3*(8-2*x))/5+x-8 = 0
  • 11/5*x-8-24/5 = 0
  • 11/5*x-64/5 = 0
  • 11/5*x-64/5 = 0 // + 64/5
  • 11/5*x = 64/5 // : 11/5
  • x = 64/5/11/5
  • x = 64/11
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (8-(2*x))/5: 
  • y = (8-(2*64/11))/5
  • y = (8-128/11)/5
  • y = -40/11/5
  • y = -8/11
  • We get a system of equations:
  • /| y = -8/11| x = 64/11

 

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