Question

To solve x + y = 3; 3x - 2y - 4 = 0 by determinant method find
D.
​

Answer 1

Step-by-step explanation:

The value of this determinant is found by finding the difference between the diagonally down product and the diagonally up product

now here, the equation is.

x + y = 3

3x - 2y = 4

The denominator determinant, D, is formed by taking the coefficients of x and y from the equations written in standard form.

D = \begin{gathered} \left[\begin{array}{cc}1&1\\3&-2\end{array}\right] \end{gathered}

[

1

3

1

−2

]

according to formula,

D = ( 1 ) × ( -2 ) - ( 1 ) × ( 3 )

D = - 2 - 3

D = -5

HENCE, option (C) is correct.