The system of equation $5 x + 2 y = 4$ , $7 x + 3 y = 5$ are inconsistent.

True

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False

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Solution

The correct option is B False
$5 x + 2 y - 4 = 0$ , $7 x + 3 y - 5 = 0$
$\frac{a_{1}}{a_{2}} = \frac{5}{7}$
$\frac{b_{1}}{b_{2}} = \frac{2}{3}$
$\frac{c_{1}}{c_{2}} = \frac{- 4}{- 5} = \frac{4}{5}$
Since $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$
The system of equations has unique solution
Therefore it is consistent
Thus it is false

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