By applying fundamental principles in engineering and mathematics, create a system of linear equations for the following problems and solve and check them using the indicated methods If the coordinates of a triangle are given, then, its area may be solved using the formula11 ₁ 11Area of triangle = ₂ 2 1x3 узNote: This formula requires the sequence of the points to be in counterclockwise manner.Find the area of the triangle (use Laplace cofactor expansion for the determinant) formed by the intersections ofthe lines:2x+3y-16=0x-y-3=07x-2y-6=0Use Cramer's Rule in finding the points of intersection.

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If the coordinates of a triangle are given, then, its area may be solved using the formula Area of triangle = 11 ₁ 11 x₂ ₂ 1 xys 11 Note: This formula requires the sequence of the points to be in counterclockwise manner. Find the area of the triangle (use Laplace cofactor expansion for the determinant) formed by the intersections of the lines: 2x+3y-16 = 0 x-y-3=0 7x-2y-6=0 Use Cramer's Rule in finding the points of intersection.