Question

Check whether the following pair of equations is consistent or inconsistent.x+y=8, 3x+3y=14.​

Answer 1

Answer:

It is inconsistent.

Step-by-step explanation:

1/3=1/3 not equal to -8/-14

So if A1/A2 = B1/B2 not equal to C1/C2 then the lines are parallel and so there is no common solution.

Answer 2

Step-by-step explanation:

$x + y = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)$

$3x + 3y = 14 \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$

$\frac{1}{3} = \frac{1}{3} \not= \frac{8}{14}$

From above we can see that

$\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

Hence he lines are inconsistent/parallel and have no solutions.