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# Linear equations with two unknowns

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This solution deals with linear equations with two unknowns.

Solution found

{m,n}={-5/2,-13/3}

## System of Linear Equations entered :

   [1]    4m - 3n = 3
[2]    2m - 3n = 8


### Graphic Representation of the Equations :

    -3n + 4m = 3        -3n + 2m = 8

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### Solve by Substitution :

// Solve equation [2] for the variable  m

  [2]    2m = 3n + 8

[2]    m = 3n/2 + 4


// Plug this in for variable  m  in equation [1]

   [1]    4•(3n/2+4) - 3n = 3
[1]    3n = -13


// Solve equation [1] for the variable  n

   [1]    3n = - 13

[1]    n = - 13/3


// By now we know this much :

    m = 3n/2+4
n = -13/3

// Use the  n  value to solve for  m

    m = (3/2)(-13/3)+4 = -5/2


## Solution :

 {m,n} = {-5/2,-13/3}