Question

X+2y-4=0 and 2x+4y-12=0 are consistent or inconsistent​

Answer 1

Answer:

$\red{inconsistent}$

Step-by-step explanation:

$\blue{x+2y=4}$

$\yellow{2x+4y=12}$

$\boxed{Conditions}$

• if the linear equation has one solution(unique) then the linear equation is consistent

so we can check it

The condition is

a1/a2≠b1/b2

$\frac{1}{2} = \frac{2}{4}$

$\frac{1}{2} = \frac{1}{2}$

So the given linear equatio is not consistent

now the condition for

inconsistentcy

• if the linear equation has no solution the the linear equation is inconsistent

condition

a1/a2=b1/b2≠c1/c2

comparing the equation we get

1/2=2/4≠4/12

1/2=1/2≠1/3

so the given linear equation is

$\green{inconsistent}$

Answer 2

Hi mate from tharun tharu

your answer is

"inconsistent "

hope it helps u

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