Question

find the value of Dx and D for the equations.
2x+3y=4 ;7x+5y=2​

Answer 1

Answer:

Dx= -20-6=-26.

Step-by-step explanation:

The given equations are 2x+3y=4 and 7x-5y=2, using the crammer's rule,

D=determinant\begin{gathered}\left[\begin{array}{ccc}2&3\\7&-5\\\end{array}\right]\end{gathered}

[

2

7

3

−5

]

D=-10-21

D=-31

And, Dx= determinant\begin{gathered}\left[\begin{array}{ccc}4&3\\2&-5\\\end{array}\right]\end{gathered}

[

4

2

3

−5−

Answer 2

Answer:

Dx=-26 and D=-31

Step-by-step explanation:

The given equations are 2x+3y=4 and 7x-5y=2, using the crammer's rule,

D=determinant\begin{gathered}\left[\begin{array}{ccc}2&3\\7&-5\\\end{array}\right]\end{gathered}

[

2

7

3

−5

]

D=-10-21

D=-31

And, Dx= determinant\begin{gathered}\left[\begin{array}{ccc}4&3\\2&-5\\\end{array}\right]\end{gathered}

[

4

2

3

−5

]

Dx= -20-6=-26.

Hence, Dx=-26 and D=-31