1/2x+1/3y=2/3;1/2x+2y=9

Simple and best practice solution for 1/2x+1/3y=2/3;1/2x+2y=9. 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

If it's not what You are looking for type in the system of equations solver your own equations and let us solve it.
Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 1/2x+1/3y=2/3;1/2x+2y=9 system of equations: 


  • /| (1/2)*x+(1/3)*y-(2/3) = 0| (1/2)*x+2*y-9 = 0
  • We try to solve the equation: (1/2)*x+(1/3)*y-(2/3) = 0
  • 1/2*x+1/3*y-2/3 = 0 // - 1/2*x-2/3
  • 1/3*y = -(1/2*x-2/3) // : 1/3
  • y = (-(1/2*x-2/3))/1/3
  • y = 3*(2/3-(1/2*x))
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| 2*3*(2/3-(1/2*x))+(1/2)*x-9 = 0| y = 3*(2/3-(1/2*x))
  • 6*(2/3-1/2*x)+x/2-9 = 0
  • 4-5/2*x-9 = 0
  • -5/2*x-5 = 0
  • -5/2*x-5 = 0 // + 5
  • -5/2*x = 5 // : -5/2
  • x = 5/(-5/2)
  • x = -2
  • We insert the solution into one of the initial equations of our system of equations
  • For y = 3*(2/3-(1/2*x)): 
  • y = 3*(2/3-(-2*1/2))
  • y = 3*(2/3+1)
  • y = 5/3*3
  • y = 5
  • We get a system of equations:
  • /| y = 5| x = -2

 

See similar systems of equations:

| 15x-5y=20;y=3x+4 | | 15x-20y=1;15y=-1+10x | | 3x+4y=3;x=47-9y | | 2x+y=5;y=3x | | 2x+5y=11;3x-2y=-12 | | 4x-y=-11;2x+3y=5 | | 3x-y=14;-9x+3y=-42 | | 2x+4y=24;6x+12y=36 | | -6x+3y=18;4x-3y=6 | | 2x+y=1;4x+2y=-1 | | -2x+y=1;-4x+y=-1 | | X-3Y=1;X+Y=5 | | 2x+6y=18;3x-2y=6 | | 4x-3y=8;9y=12x-24 | | -5x-7y=-20;9x+2y=-17 | | 4x+5y=15;8x+10y=0 | | y=5-5x;10x+2y=10 | | 3x-y=4;7x+y=16 | | 4x=10+2y;-5/4x+y=7/4 | | 0.1x+0.6y=-0.9;0.7x-0.5y=7.8 | | 1/2x+1/3y=-4/3;1/2x+4y=6 | | 20x-24y=12;5x=6y+3 | | 4x+5y=16;x=50-7y | | x+y=300;12x+15y=4140 | | 5x+2y=16;6x+3y=21 | | 10x-7y=-46;-4x-5y=34 | | 10x+y=9;50x-45=-5y | | 3x-9y=21;-2x+6y=-14 | | 1-x3;5x-119 | | 5x+y=1;3x+3y=2 | | 4x+10y=40;-10x-3y=30 | | x+2y=10;2x+4y=32 |

Equations solver categories