2x+5y=26;y=(x/4)

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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=26;y=(x/4) system of equations: 


  • /| 2*x+5*y-26 = 0| y-(x/4) = 0
  • We try to solve the equation: 2*x+5*y-26 = 0
  • 2*x+5*y-26 = 0 // - 2*x-26
  • 5*y = -(2*x-26) // : 5
  • y = (-(2*x-26))/5
  • y = (26-(2*x))/5
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (26-(2*x))/5-(x/4) = 0| y = (26-(2*x))/5
  • (26-2*x)/5-x/4 = 0
  • 26/5-13/20*x = 0
  • 26/5-13/20*x = 0 // - 26/5
  • -13/20*x = -26/5 // : -13/20
  • x = -26/5/(-13/20)
  • x = 8
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(2*x))/5: 
  • y = (26-(2*8))/5
  • y = (26-16)/5
  • y = 10/5
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = 8

 

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