The equations of linear system are
.
Since the coefficient of the y - term in the above two equations is same, eliminate these terms by subtracting the equations.
\Rewrite the equation 2:
so that the like terms are arranged in columns form and subtract to eliminate variable y.
.
The resultant equation is
and solve it for x.


Multiply each side by
.

Cancel common terms.
\
.
Substitute the value of
in equation 2:
and solve for y.


Subtract 1 from each side.
\

Multiply each side by
.
Cancel common terms.
\
.
The solution is
.