Question

0. 2. (A) Complete and write any two activities from the following:
10) Complete the following activity to solve the siroul necuieqa ton
2-19 and 21-3y -- 3 by Crainer's rule
We​

Answer 1

Answer:

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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