6x+4y=6;y=5-5x

Simple and best practice solution for 6x+4y=6;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+4y=6;y=5-5x system of equations: 


  • /| 6*x+4*y-6 = 0| 5*x+y-5 = 0
  • We try to solve the equation: 6*x+4*y-6 = 0
  • 6*x+4*y-6 = 0 // - 6*x-6
  • 4*y = -(6*x-6) // : 4
  • y = (-(6*x-6))/4
  • y = (6-(6*x))/4
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (6-(6*x))/4+5*x-5 = 0| y = (6-(6*x))/4
  • (6-6*x)/4+5*x-5 = 0
  • 7/2*x-5+3/2 = 0
  • 7/2*x-7/2 = 0
  • 7/2*x-7/2 = 0 // + 7/2
  • 7/2*x = 7/2 // : 7/2
  • x = 7/2/7/2
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (6-(6*x))/4: 
  • y = (6-(1*6))/4
  • y = (6-6)/4
  • y = 0/4
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = 1

 

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