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
.