To solve 3x+2y = 5 and 2x- y = 4 by determinant method find D.​

Question

To solve 3x+2y = 5 and 2x- y = 4 by
determinant method find D.​

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1 month 2021-08-12T07:08:18+00:00 1 Answer 0 views 0

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    0
    2021-08-12T07:10:07+00:00

    Answer:

    Given linear equations are 3x+2y=1,2x−3y=5

    Using Cramers rule, find the determinant of the coefficient

    matrix,

    D=

    3

    2

    2

    −3

    =3×−3−(2×2) $= -9 – 4$$ =−13

    Secondly, find the determinant of x coefficient matrix,

    D

    x

    =

    1

    5

    2

    −3

    =1×−3−(5×2) =−3−10=−13

    Similarly, find the determinant of y coefficient matrix,

    D

    y

    =

    3

    2

    1

    5

    =3×5−(2×1) =15−2=13

    Applying Cramer’s rule,

    x=

    D

    D

    x

    ∴x=

    −13

    −13

    =1

    y=

    D

    D

    y

    ∴y=

    −13

    13

    =−1

    Therefore, x=1,y=−1

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