Question

Choose the letter of the term that best matches each phase.

A system of equation that has no solution

Short answer

A system of equation that has no solution is (d) inconsistent system.

Step-by-step solution

Step-1 –Concept of inconsistent system

A system of two linear equations can have one solution, an infinite number of solutions, or no solution. If a system has no solution, it is said to be inconsistent.

Step-2 –Example of inconsistent system

The linear equation $x+2=4$and $x+2=6$is an inconsistent system since it has impossible to solve based on using once set of values for the variable.

Step-3 –Match the term with phrase

Hence, by the above data we can say, a system of equation that has no solution is (d) inconsistent system.