Step 1:
\The system of equations are
and
.
Consider
.
Add
on each side.
.
Divide each side by a.
\
Step 2:
\Consider
.
Rewrite the equation.
\
Substitute
in the above equation..


Rewrite the expression.
\
Take LCD of the denominator.
\
.
Multiply on each side by
.

Rewrite the expression such that like terms are on one side.
\
Multiply on each side by
.
.
Algebraic formula:
.
.
Divide each side by
.

Subtract each side by
.

Multiply on each side by
.
.
Step 3:
\Substitute
in (1).

Take LCD of the denominator.
\
Since the numerator are equal, equate the denominator.
\

Solutions of the system of equations are
and
.
\
\
\
\
Check :
\Consider
.
Substitute
and
.

Hence the solution of equation
are
and
.
Consider
.
Substitute
and
.

Hence the solution of equation
are
and
.
Therefore solutions of the system of equations are
and
.