Question

Solve the following simultaneous equations using Cramer's rule.
$3x - 4y = 7$
$x + 4y = 11$
​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

3x + 2y + 11 = 0

∴  3x + 2y = – 11

7x – 4y = 9

D

=

3

2

=

(3 × -4) – (7 × 2)

=

-12 – 14

=

-26

7

-4

DX

=

-11

2

=

(-11 × -4) – (9 × 2)

=

44 – 18

=

26

9

-4

DY

=

3

-11

=

(3 × 9) – (7 × -11)

=

27 + 77

=

104

7

9

By Cramer's rule,

x

=

Dx

=

26

=

-1

D

-26

y

=

Dx

=

104

=

-4

D

-26

∴ x = – 1 and y = – 4 is the solution of given simultaneous equations.