Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations and
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.