4x-y=8;x=2y-5

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


  • /| 4*x-y-8 = 0| x-(2*y)+5 = 0
  • We try to solve the equation: 4*x-y-8 = 0
  • 4*x-y-8 = 0 // - 4*x-8
  • -y = -(4*x-8) // * -1
  • y = 4*x-8
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| x-(2*(4*x-8))+5 = 0| y = 4*x-8
  • x-1*2*(4*x-8)+5 = 0
  • 5-7*x+16 = 0
  • 21-7*x = 0
  • 21-7*x = 0 // - 21
  • -7*x = -21 // : -7
  • x = -21/(-7)
  • x = 3
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 4*x-8: 
  • y = 3*4-8
  • y = 12-8
  • y = 4
  • We get a system of equations:
  • /| y = 4| x = 3

 

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