Question

Crammer's Rule
x+y+z=1
2x +2y+3z= 6
x+ 4y + 9Z= 3​

Answer 1

Solve the equation by Cramers rule

x

+

y

+

z

=

1

,

2

x

+

2

y

+

3

z

=

6

,

x

+

4

y

+

9

z

=

3

.

A

7

,

−

10

,

4

B

−

7

,

−

10

,

−

4

C

7

,

10

,

4

D

7

,

−

10

,

−

4

Solution

Δ

=

∣

∣

∣

∣

1

1

1

2

2

3

1

4

9

∣

∣

∣

∣

=

−

3

Δ

1

=

∣

∣

∣

∣

1

1

1

6

2

3

3

4

9

∣

∣

∣

∣

=

−

21

Δ

2

=

∣

∣

∣

∣

1

1

1

2

6

3

1

3

9

∣

∣

∣

∣

=

30

Δ

3

=

∣

∣

∣

∣

1

1

1

2

2

6

1

4

3

∣

∣

∣

∣

=

−

12

x

=

Δ

1

Δ

=

−

21

−

3

=

7

y

=

Δ

2

Δ

=

30

−

3

=

−

10

z

=

Δ

3

Δ

=

−

12

−

3

=

4