Question

Twelve times a number r plus one-sixth of a number s equals seventeen. Six times the number r plus one-twelfth of the number s equals five. What are the two​ numbers? Question content area bottom Part 1 Select the correct answer below​ and, if​ necessary, fill in the answer boxes to complete your choice. A. The numbers are r= enter your response here and s= enter your response here. ​(Simplify your​ answers.) B. There are infinitely many solutions. All real numbers meet these criteria. C. There is no solution. There are no numbers that meet these criteria. Get more help

Answer 1

There are no numbers that meet this criteria.

Explanation:

Compose 2 equations in r and s

12r + 1/6 s = 17 ........... A

6r + 1/12 s = 5 Multiply this equation by -2:

-12r - 1/6 s = -10..............B

Adding equations A and B:

0 + 0 = 7

This is absurd so there are no solutions to these equations.