6x+6y=18;y=5-5x

Simple and best practice solution for 6x+6y=18;y=5-5x. Check how easy it is, to solve this system of equations and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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

Solution for 6x+6y=18;y=5-5x system of equations: 


  • /| 6*x+6*y-18 = 0| 5*x+y-5 = 0
  • We try to solve the equation: 6*x+6*y-18 = 0
  • 6*x+6*y-18 = 0 // - 6*x-18
  • 6*y = -(6*x-18) // : 6
  • y = (-(6*x-18))/6
  • y = (18-(6*x))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (18-(6*x))/6+5*x-5 = 0| y = (18-(6*x))/6
  • (18-6*x)/6+5*x-5 = 0
  • 4*x-5+3 = 0
  • 4*x-2 = 0
  • 4*x-2 = 0 // + 2
  • 4*x = 2 // : 4
  • x = 2/4
  • x = 1/2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (18-(6*x))/6: 
  • y = (18-(1/2*6))/6
  • y = (18-3)/6
  • y = 15/6
  • y = 5/2
  • We get a system of equations:
  • /| y = 5/2| x = 1/2

 

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