oscardelrecords oscardelrecords
  • 24-01-2017
  • Mathematics
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What is the value of the system determinant for the following system of equations? 6x + y = 4 5x + y - 7 = 0

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ColinJacobus ColinJacobus
  • 27-03-2019

Answer:  The value of the determinant is 1.

Step-by-step explanation:  The given system of linear equation is as follows:

[tex]6x+y=4~~~~~~~~~~~~~~~~(i)\\\\5x-y-7=0\\\\\Rightarrow 5x-y=7~~~~~~~~~~~(ii)[/tex]

The first column of the determinant gives the coefficients of 'x' and the second column gives the coefficients of y in the two equations.

Therefore, the determinant for the given system is

[tex]D=\begin{vmatrix} 6& 1\\  5& 1\end{vmatrix}=6\times 1-5\times 1=6-5=1.[/tex]

Thus, the required value of the determinant is 1.

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