CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 15
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Question 5:
Solve and and hence find the value of for which .
Answer:
Using equation (2), we can say that
Putting this in equation (1), we get
Putting value of y in equation (1), we get
Therefore, and
Putting values of and y in , we get
Question 6:
(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions?
(ii) For which value of k will the following pair of linear equations have no solution?
Answer:
(i) Comparing equation with and
with
We get and and
Linear equations have infinite many solutions if
and
and
Putting (1) in (2), we get
Putting value of in , we get
Therefore, and
(ii) Comparing with and with ,
We get and , and
Linear equations have no solution if