Answer:
The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.
Explanation:
Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
(1)
(2)
The following condition must be observed:
(3)
After some quick operations, we find the following information:
,
,

The values of
and
so that the two linear equations have infinite solutions are
and
, respectively.