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

A system of equation that has no solution

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step-2 –Example of inconsistent system

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

03

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.

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