Given: 2x minus; y = 5 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; 4x minus; 2y = 7 D=2 14 2 #160;= #160 ...

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Byju's Answer

Standard XII

Mathematics

Properties of Inequalities

2 x-y=54 x-2 ...

Question

2x − y = 5
4x − 2y = 7

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Solution

Given: 2x − y = 5
4x − 2y = 7

$D = |\begin{matrix} 2 & - 1 \\ 4 & - 2 \end{matrix}| = - 4 + 4 = 0 D_{1} = |\begin{matrix} 5 & - 1 \\ 7 & - 2 \end{matrix}| = - 10 + 7 = - 3 D_{2 =} |\begin{matrix} 2 & 5 \\ 4 & 7 \end{matrix}| = 14 - 20 = - 6$

Here, D₁and D₂are non-zero, but D is zero. Thus, the given system of linear equations is inconsistent.

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2x − y = 5 4x − 2y = 7

Given: 2x − y = 5 4x − 2y = 7 D=2-14-2 = -4 + 4 = 0D1=5-17-2=-10 + 7 = -3D2=2547 = 14 - 20 = -6 Here, D1 and D2 are non-zero, but D is zero. Thus, the given system of linear equations is inconsistent.

2x − y = 5
4x − 2y = 7