The system of equations are
.
Neither variable has a common coefficient.The coefficient of the y - variables are 1 and 3 and their least common multiple is 3, so multiply each equation by the value that will make the y - coefficient 3.
\To get two equations that contain opposite terms multiply the first equation by 3.
\Write the equations in column form and add the corresponding columns to eliminate y - variable.
\
The resultant equation is
and solve for x.


Multiply each side by
.

.
Substitute the value of
in either of the original equations and solve for y.
The first equation:
.


Subtract 1 from each side.
\

.
The solution is
.