4x-4y=20;3x+4y=15

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

Solution for 4x-4y=20;3x+4y=15 system of equations: 


  • /| 4*x-(4*y)-20 = 0| 3*x+4*y-15 = 0
  • We try to solve the equation: 4*x-(4*y)-20 = 0
  • 4*x-4*y-20 = 0 // - 4*x-20
  • -4*y = -(4*x-20) // : -4
  • y = (-(4*x-20))/(-4)
  • y = (20-(4*x))/(-4)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 4*((20-(4*x))/(-4))+3*x-15 = 0| y = (20-(4*x))/(-4)
  • (4*(20-4*x))/(-4)+3*x-15 = 0
  • 7*x-20-15 = 0
  • 7*x-35 = 0
  • 7*x-35 = 0 // + 35
  • 7*x = 35 // : 7
  • x = 35/7
  • x = 5
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (20-(4*x))/(-4): 
  • y = (20-(4*5))/(-4)
  • y = (20-20)/(-4)
  • y = 0/(-4)
  • y = 0
  • We get a system of equations:
  • /| y = 0| x = 5

 

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