The equations of linear system are
.
Since the coefficient of the y - terms in two equations,
are additive inverse, eliminate these terms by adding the equations.
Write the equations in column form and add 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 1:
and solve for y.

Subtract 1 from each side.
\

Multiply each side by
.

Cancel common terms.
\
.
The solution is
.