2x+5y=26;x=41-6y

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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;x=41-6y system of equations: 


  • /| 2*x+5*y-26 = 0| x+6*y-41 = 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:
  • /| 6*((26-(2*x))/5)+x-41 = 0| y = (26-(2*x))/5
  • (6*(26-2*x))/5+x-41 = 0
  • 156/5-7/5*x-41 = 0
  • -7/5*x-49/5 = 0
  • -7/5*x-49/5 = 0 // + 49/5
  • -7/5*x = 49/5 // : -7/5
  • x = 49/5/(-7/5)
  • x = -7
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (26-(2*x))/5: 
  • y = (26-(-7*2))/5
  • y = (14+26)/5
  • y = 40/5
  • y = 8
  • We get a system of equations:
  • /| y = 8| x = -7

 

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