Question

what is the value of Dx for the solving the simultaneous equation 3x + 2y = 11 and 7x - 4y = 9 by Cramer's rule​

Answer 1

The value of $\sf D_x$ is - 62 for the simultaneous equation 3x + 2y = 11 and 7x - 4y = 9

Given :

The simultaneous equation 3x + 2y = 11 and 7x - 4y = 9

To find :

The value of $\sf D_x$

Solution :

Step 1 of 2 :

Write down the given simultaneous equations

The given simultaneous equations are

3x + 2y = 11

7x - 4y = 9

Step 2 of 2 :

Find the value of $\sf D_x$

$\displaystyle \sf D_x = \begin{vmatrix} 11 & 2 \\ 9 & - 4 \end{vmatrix}$

$\displaystyle \sf \implies \: D_x = (- 4 \times 11) - (9 \times 2)$

$\displaystyle \sf \implies \: D_x = - 44 - 18$

$\displaystyle \sf \implies \: D_x = - 62$

The value of $\sf D_x$ is - 62

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Answer 2

Answer:

D

x

=

∣

∣

11

9

2

−4

∣

∣

\displaystyle \sf \implies \: D_x = (- 4 \times 11) - (9 \times 2)⟹D

x

=(−4×11)−(9×2)

\displaystyle \sf \implies \: D_x = - 44 - 18⟹D

x

=−44−18

\displaystyle \sf \implies \: D_x = - 62⟹D

x

=−62

The value of \sf D_xD

x

is - 62

So, the value of Dx is -62