Solve each of the following systems of equations in R.

Answer:

Answer:

Answer:

Answer:

Combining Case I and Case II we get the solution set as

Answer:

Therefore the solution set in Case I is

Case II(a):

Case II(b):

Therefore the solution set in Case II is

Combining both Case I and Case II, we get the complete solution set as

Answer:

Therefore the solution set in Case I and is

Case II(a):

Case II(b):

Therefore the solution set in Case I and is

Combining both Case I and Case II, and we get the complete solution set as

Answer:

Therefore the solution set for Case I is

Case II(a):

Case II(b):

Combining both Case I and Case II, and we get the complete solution set as

Answer:

Hence the solutions set is

Hence the solutions set is null.

Hence the solutions set is null.

Case IV:

Hence the solutions set is

From all the four cases the solution set is

Answer:

Therefore the solution set is null set.

.

Therefore the solution set in Case I and is

Case II(a):

.

Case II(b):

Therefore the solution set is null.

Therefore the solution set in Case I and is

Combining both Case I and Case II, and we get the complete solution set as

Answer:

.

Therefore the solution set is along with is .

Therefore the solution set in Case I is

Case II(a):

.

Case II(b):

.

Therefore the solution set in Case I is

Combining both Case I and Case II, and we get the complete solution set as

Answer:

Similarly,

This is not possible.

Combining all the three cases, the solution set is

Answer:

Hence the solution set for the first equation is

Hence the solution set for the first equation is

Combining the two cases, we get the solution set as

Answer:

Therefore the solution set will be