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

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for example:
2x+y=8
x+3y=14

Solution for 4x+6y=4;y=5-5x system of equations: 


  • /| 4*x+6*y-4 = 0| 5*x+y-5 = 0
  • We try to solve the equation: 4*x+6*y-4 = 0
  • 4*x+6*y-4 = 0 // - 4*x-4
  • 6*y = -(4*x-4) // : 6
  • y = (-(4*x-4))/6
  • y = (4-(4*x))/6
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (4-(4*x))/6+5*x-5 = 0| y = (4-(4*x))/6
  • (4-4*x)/6+5*x-5 = 0
  • 13/3*x-5+2/3 = 0
  • 13/3*x-13/3 = 0
  • 13/3*x-13/3 = 0 // + 13/3
  • 13/3*x = 13/3 // : 13/3
  • x = 13/3/13/3
  • x = 1
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (4-(4*x))/6: 
  • y = (4-(1*4))/6
  • y = (4-4)/6
  • y = 0/6
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = 1

 

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