Question

find the value of Dx and Dy to solve the simultaneous equations 3x - 4y = 8 and 4x - 3y = 5 by creamers ​

Answer 1

Answer:

Cramer's Rule involves the use of determinants to find the solution and like any other technique ... 2x + 3y − z = 1. 4x + y − 3z = 11. 3x − 2y + 5z = 21. To find .... 4x − y − 3z = −8. 2x + 2y ...

Answer 2

The value of Dₓ is -4 and Dy is -17

Step-by-step explanation:

The system of equation,

3x - 4y = 8 and 4x - 3y = 5

Using cramer's rule, make matrix of coefficient of x and y

$A=\begin{vmatrix}3&-4\\4&-3\end{vmatrix}$

$B=\begin{bmatrix}8\\5\end{bmatrix}$

Now we find $D_X$

Replace first column of matrix A with B matrix

$D_X=\begin{vmatrix}8 &-4 \\5&-3 \end{vmatrix}$

$|D_X|=-3\times 8-5\times -4$

$D_X=-4$

Now we find $D_Y$

Replace second column of matrix A with B matrix

$D_Y=\begin{vmatrix}3 &8 \\4&5 \end{vmatrix}$

$|D_Y|=3\times 5-8\times 4$

$D_Y=-17$

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