Question

Check whether the following system of equation is consistent or inconsistent say how many solutions we can have if it is Consistent.

i)2x - y=3
4x-2y=6​

Answer 1

Question:

Check whether the following system of equation is consistent or inconsistent say how many solutions we can have if it is Consistent.

i)2x - y = 3

4x - 2y = 6

Solution:

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}} \\ \\ \frac{2}{4} = \frac{1}{2} = \frac{3}{6} \\ \\ \frac{1}{2} = \frac{1}{2} = \frac{1}{2}$

Consistent and infinitely many solutions

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