3y=4x+1;y=-4/3x+1

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Solution for 3y=4x+1;y=-4/3x+1 system of equations: 


  • /| 3*y-(4*x)-1 = 0| y-((-4/3)*x)-1 = 0
  • We try to solve the equation: 3*y-(4*x)-1 = 0
  • 3*y-4*x-1 = 0 // + -4*x-1
  • 3*y = -(-4*x-1) // : 3
  • y = (-(-4*x-1))/3
  • y = (1-(-4*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1-(-4*x))/3-((-4/3)*x)-1 = 0| y = (1-(-4*x))/3
  • (4*x+1)/3+(4*x)/3-1 = 0
  • 8/3*x-1+1/3 = 0
  • 8/3*x-2/3 = 0
  • 8/3*x-2/3 = 0 // + 2/3
  • 8/3*x = 2/3 // : 8/3
  • x = 2/3/8/3
  • x = 1/4
  • We insert the solution into one of the initial equations of our system of equations
  • For y = (1-(-4*x))/3: 
  • y = (1-(-4*1/4))/3
  • y = (1+1)/3
  • y = 2/3
  • We get a system of equations:
  • /| y = 2/3| x = 1/4

 

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