Question

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

i) 3x-4y=12
9x-12y=24​

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) 3x-4y=12

9x-12y=24

Solution:

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$

$\frac{3}{9} = \frac{4}{12} = \frac{12}{24} \\ \\ \frac{1}{3} = \frac{1}{3} ≠ \frac{1}{2}$

Inconsistent and no solution

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Answer 2

Explanation:

a1/a2 = b1/b2 = c1/c2

3/9 = 4/12 = 12/24

1/3 = 1/3 ≠ 1/2

Final answer:

Inconsistent and no solution.