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Question

Assertion: If x=2,y=1 is a solution of the equation 2x+3y=k, then the value of k is7.

Reason: The solution of the line will satisfy the equation of the line.


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Solution

Assertion: If x=2,y=1 is a solution of the equation 2x+3y=k, then the value ofk is7.

As we know, the solution of the line will satisfy the equation of the line.

So, the reason is correct.

Also putting, x=2,y=1 in L.H.S. of the given equation, we get

2(2)+3(1)=4+3=7

So, the value ofk is7.

Thus the given assertion is also correct.

Hence, both assertion and reason are true and given reason is correct explanation of assertion.


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