Math, asked by fragrantmole, 11 months ago

Do the following pair of linear equations have no solution.Justify your answer x=2y and y=2x


Answers

Answered by vickydiwan2005
1

Answer: there is a solution

Step-by-step explanation: y is equal to 2 x ,x is equal to y by 2

This is only possible if x is equal to zero and y is equal to zero

Answered by Arceus02
6

\sf{\large{\pink{\underline{Question:-}}}}

Do the following pair of linear equations have no solution. Justify your answer x=2y and y=2x

\sf{\large{\blue{\underline{Answer:-}}}}

From second equation

y = 2x -----------------------(a)

Now substitute y in first equation

x = 2y

⇒ x = 2(2x)ㅤㅤㅤㅤㅤ [From (a)]

⇒ x = 4x

⇒ x/x = 4

⇒ 1 = 4ㅤㅤㅤㅤㅤㅤㅤ [as x/x = 1]

This is not possible.

So there is no solution for this pair of linear equations.

However if it is possible that x = y, there can be a solution

\red{\sf{\underline{x \:= \:y\: =\: 0}}}

x = 2y

⇒ 0 = 2 * 0

⇒ 0 = 0

y = 2x

⇒ 0 = 2 * 0

⇒ 0 = 0

But if it is said that x and y are two distinct integers then there will be no solution.

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