Question

please solve the question ​

Answer 1

Answer:

if equation has no solution then it is inconsistent

and have parallel lines and no solution.

Answer 2

The system of equation when it doesn't have any solution ( no solution ) it is called ${ \pmb{ \bf { \green { Inconsistent \: \: System }}}}$

• For any system of equations , if the equation has unique solution . Then the system is called ${ \pmb{ \bf { \blue { Consistent \: \: System }}}}$

• For any system of equations , if the equation has Infinite many solutions . Then the system is called ${ \pmb{ \bf { \orange { Consistent \: \: System }}}}$ and ${ \pmb{ \bf { \orange{ Dependent \: \: System }}}}$

• For any system of equations , if the equation has no solution . Then the system is called ${ \pmb{ \bf { \red { Inconsistent \: \: System }}}}$

Henceforth , option ( a ) is correct :)