Question

2. What is the value of D for solving simultaneous equation 3x – 2y = 6 and 2x + y =
11 by Cramer's rule?
A)-1
BI
C) -7
D) 7​

Answer 1

The value of D = 7

Correct question : What is the value of D for solving simultaneous equation 3x – 2y = 6 and 2x + y = 11 by Cramer's rule? A) - 1 B) 1 C) -7 D) 7

Given :

The simultaneous equation 3x – 2y = 6 and 2x + y = 11

To find :

The value of D by Cramer's rule is

A) - 1

B) 1

C) -7

D) 7

Solution :

Step 1 of 2 :

Write down simultaneous equations

Here the given simultaneous equations are

3x – 2y = 6 and 2x + y = 11

Step 2 of 2 :

Find the value of D

Using Cramer's rule we get

$\displaystyle \sf \: D = \begin{vmatrix} 3& - 2 \\ \\ 2 & \: \: \: 1 \end{vmatrix}$

$\displaystyle \sf{ \implies D = (3 \times 1) - \{ ( - 2) \times 2 \}}$

$\displaystyle \sf{ \implies D =3 + 4}$

$\displaystyle \sf{ \implies D = 7}$

Hence the correct option is D) 7

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Answer 2

what is is the value of the D for solving simultaneously equations 3x-2y=6 and 2x+y=11 crammer's rule