System of linear equations 5 x + 2 y = 4 , 7 x + 3 y = 5 has:

Question

System of linear equations $5 x + 2 y = 4,$ $7 x + 3 y = 5$ has:

Smart Achievers · Accepted Answer

(1)

Ans. Unique solution

Explanation:

Given,

$5 x + 2 y = 4$

$7 x + 3 y = 5$

Here,

$\frac{a_{1}}{a_{2}} = \frac{5}{7},$ $\frac{b_{1}}{b_{2}} = \frac{2}{3}$

Since, $\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$

Thus, given system of linear equations has a unique solution.

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