Question

Are the following statements true of false. Justify your answer.
(i) The pair of equations 2x-y=4 and x/5+y/5=1 has a unique solution.
(II) The equations 3x+4y=6 and 9x+12y=15 represent a pair of coincident lines.
(III) The pair of equations 3x-5y=20 and 6x-10y+40=0 is inconsistent.
(iv) The pair of equations x+3y-2=0 and 3x+9y-6 is consistent.​

Answer 1

Answer:

this is the correct answer

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Step-by-step explanation:

The equations are

3x+4y−k=0

9x+12y−6=0

Here, a1=3,b1=4,c1=−k

and a2=9,b2=12,c2=−6

For the system to have infinite solution if

a2a1=b2b1=c2c1

⇒93=124=−6−k

⇒3k=6

⇒k=2

Answer 2

Answer:

उत्तर: मीरा कृष्ण की लीलाओं का गुणगान वृन्दावन की कुँज गलियों में करना चाहती हैं।