Question

For simultaneous equations in variables x and y, Dx = 56, Dy = -64, D = 8, then what is x ? *​

Answer 1

Answer:

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D= 8

Dx= 56

putting the value of D.

8x= 56

x= 56/8

x=7.

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Answer 2

Answer:

In the simultaneous equations the value of x variable is 7

Step-by-step explanation:

Cramer's rule

• Cramer's rule is one of the essential methods used to solve an equation system.
• The determinants of matrices are used in this method to derive the values of the system's variables.
• The determinant method is another name for Cramer's rule.

In order to solve equation systems with the same number of equations as variables, Cramer's Rule uses determinants.

$a_{1} x + b_{1} y = C_{1}$

$a_{2} x + b_{2} y = C_{2}$

The solution using Cramer's rule is

x = $\frac{D_{x} }{D}$

$D_{x} = \left[\begin{array}{ccc}c_{1} &b_{1} \\c_{2} &b_{2} \\\end{array}\right]$

$D_{y} = \left[\begin{array}{ccc}a_{1} &c_{1} \\a_{2} &c_{2} \\\end{array}\right]$

$D = \left[\begin{array}{ccc}a_{1} &b_{1} \\a_{2} &b_{2} \\\end{array}\right]$

x = $\frac{D_{x} }{D}$

y = $\frac{D_{y} }{D}$

Given,

$D_{x} = 56$

$D_{y} = -64$

D = 8

x =?

we know that , according to cramer's rule

x = $\frac{D_{x} }{D}$

x = $\frac{56}{8}$

x = 7

y = $\frac{D_{y} }{D}$

y = $\frac{-64}{8}$

y = -8

The value of variable x is 7

Final answer.

In the simultaneous equations the value of x variable is 7

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