If the system of linear equations: has more than two solutions, then is equal to
Step 1: Determination of two solutions
Let the three given equations be 1, 2, and 3.
In equations 1 and 2, put , we get
Subtract from , then
So, we get the first solution as
For the second solution put in 1 and 2,
Subtract from then
Therefore, the second solution is .
Step 2: Determination of the value of
Apply the first solution in equation 3,
Now, apply the second solution in equation 3,
Using these values,
Hence, the value of is .