Question

Check whether the pair of linear equations 4x – y = 4 and 3x +2y = 14 is co nsistent.

Answer 1

Answer:

The pair of linear equation is said to be consistent, if $\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$

Here,

$4x - y = 4 \\ 3x + 2y = 14$

$\frac{a_1}{a_2} = \frac{4}{3} \\ \\ \frac{b_1}{b_2} = \frac{ - 1}{4} \\ \\ \frac{a_1}{a_2}\ne \frac{b_1}{b_2}$

Hence, it is consistent.