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

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

Solution for 5x+y=13;4x-2y=2 system of equations: 


  • /| 5*x+y-13 = 0| 4*x-(2*y)-2 = 0
  • We try to solve the equation: 5*x+y-13 = 0
  • 5*x+y-13 = 0 // - 5*x-13
  • y = -(5*x-13)
  • y = 13-(5*x)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*x-(2*(13-(5*x)))-2 = 0| y = 13-(5*x)
  • 4*x-1*2*(13-5*x)-2 = 0
  • 14*x-26-2 = 0
  • 14*x-28 = 0
  • 14*x-28 = 0 // + 28
  • 14*x = 28 // : 14
  • x = 28/14
  • x = 2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 13-(5*x): 
  • y = 13-(2*5)
  • y = 13-10
  • y = 3
  • We get a system of equations:
  • /| y = 3| x = 2

 

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