2y=4x+20;y=-2x-6

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2x+y=8
x+3y=14

Solution for 2y=4x+20;y=-2x-6 system of equations: 


  • /| 2*y-(4*x)-20 = 0| y-(-2*x)+6 = 0
  • We try to solve the equation: 2*y-(4*x)-20 = 0
  • 2*y-4*x-20 = 0 // + -4*x-20
  • 2*y = -(-4*x-20) // : 2
  • y = (-(-4*x-20))/2
  • y = (20-(-4*x))/2
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (20-(-4*x))/2-(-2*x)+6 = 0| y = (20-(-4*x))/2
  • (4*x+20)/2+2*x+6 = 0
  • 4*x+6+10 = 0
  • 4*x+16 = 0
  • 4*x+16 = 0 // - 16
  • 4*x = -16 // : 4
  • x = -16/4
  • x = -4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (20-(-4*x))/2: 
  • y = (20-(-4*(-4)))/2
  • y = (20-(4*4))/2
  • y = (20-16)/2
  • y = 4/2
  • y = 2
  • We get a system of equations:
  • /| y = 2| x = -4

 

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