$\"\"$

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The system equations are

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$\"\"$ Equation (1)

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$\"\"$ Equation (2)

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The matrix equation form is $\"\"$ .

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When, $\"\"$ .

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Therefore solution matrix is $\"\"$ . $\"\"$

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First find the determinant of A = ad $\"\"$ bc.

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$\"\"$

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$\"\"$

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Product of two same sings is positive.

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$\"\"$

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$\"\"$ .

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Therefore A^-1 exists.

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$\"\"$

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The inverse of A is $\"\"$ .

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Substitute a = 4, b = $\"\"$ , c = 2, d = 3 and ad $\"\"$ bc = 14.

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$\"\"$

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

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Substitute the values of $\"\"$ in the solution matrix $\"\"$ .

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Multiply each side by $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The solution is $\"\"$ .