**Maps to Category 9 of the book.**

There is a flashcard for this concept. It is accessible from the Resources page.

**Answer posted on 10/03/2021: Correct answer choice is D.**

For a system of equations to have no solution, the ratio of *c *cannot be same as the ratios of *a* and *b*.

The ratio of *a* in the two equations is 2:5. If *c *= 25, then the ratio of *c* in two equations will be 10:25 = 2:5. Hence, *c* cannot be 10 for the system to have no solution.

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