$\"\"$

\

The system of equations are $\"\"$ and $\"\"$ .

\

Write the equations into matrix form $\"\"$ , where $\"\"$ is coefficient matrix, $\"\"$ is variable matrix and $\"\"$ is constant matrix.

\

Here $\"\"$ and $\"\"$ .

\

Solve the system of equation by Cramer $\"\"$ s rule.

\

Cramer $\"\"$ s rule :

\

Solution of the system of equations $\"\"$ and $\"\"$ for $\"\"$ .

\

Co-efficient matrix $\"\"$ .

\

Caluculate the determinant of matrix $\"\"$ . $\"\"$ .

\

Find $\"\"$ .

\

$\"\"$

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ ) $\"\"$ (Simplify)

\

$\"\"$ (Multiply)

\

$\"\"$ (Subtract: $\"\"$ )

\

\

$\"\"$ . (Simplify)

\

$\"\"$

\

\

Find $\"\"$ .

\

\

$\"\"$

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ ) $\"\"$ (Simplify)

\

$\"\"$ (Multiply)

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$ . (Simplify)

\

\

The solution of the system of equation is $\"\"$ . $\"\"$

\

Check solution for $\"\"$ -values.

\

$\"\"$ and $\"\"$ .

\

Case (i):

\

$\"\"$ (First equation)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Multiply)

\

$\"\"$ (Subtract: $\"\"$ )

\

Case (ii):

\

$\"\"$ . (Second equation)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

\

$\"\"$ (Multiply)

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$

\

The solution of the system of equations is $\"\"$ .