Question

Solve the following simultaneous equations by Cramer’s Rule :- +2=⎯1 & 2⎯3=12

Answer 1

Answer:

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Step-by-step explanation:

Given equations are 3x+y=1 and 2x=11y+3

For cramers rule, We first find

D=(

3

2

1

−11

)

⇒∣D∣=

∣

∣

∣

∣

∣

∣

3

2

1

−11

∣

∣

∣

∣

∣

∣

=3×−11−1×2=−33−2=−35

For x matrix

D

x

=[

1

3

1

−11

]

⇒[D

x

]=

∣

∣

∣

∣

∣

∣

1

3

1

−11

∣

∣

∣

∣

∣

∣

=1×−11−1×3=−11−3=−14

For y matrix

D

y

=[

3

2

1

3

]

⇒[D

y

]=

∣

∣

∣

∣

∣

∣

3

2

1

3

∣

∣

∣

∣

∣

∣

=3×3−1×2=9−2=7

Therefore, x=

D

D

x

=

−35

−14

=

5

2

and y=

D

D

y

=

−35

7

=−

5

1