Solution:
The value of k for which the equations 2x + 3y = 7 and (k - 1) x + (k + 2) y = 3k has an infinite number of solutions is 7.Given 2 equations 2x + 3y = 7 and (k - 1) x + (k + 2) y = 3k.
Simplifying equation 1,
Simplifying equation 2,
Now on comparing with standard equations,
The condition for infinite solutions is,
Hence, the value of k is 7.