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