The system of equations are
.
Neither variable has a common coefficient.The coefficient of the x - variables are
and their least common multiple is
, so multiply each equation by the value that will make the y - coefficient
.
To get two equations that contain opposite terms multiply the first equation by negative 2 and multiply the second equation by 3.
\Write the equations in column form and add the corresponding columns to eliminate x - variable.
\
The resultant equation is
and solve for y.



Multiply each side by
.

Cancel common terms.
\
.
Substitute the value of
in either of the original equations and solve for x.
The second equation:
.


Subtract 4 from each side.
\

Multiply each side by
.

Cancel common terms.
\
.
The solution is
.