Consider the complete question is "Which equation has a solution of k = 6.5? A. -3k = 19.5 , B. -1 + k = 7.5 , C. -7k = -45.5 , D. -2 + k = -8.5."
Given:
Solution of equation is k=6.5.
To find:
The equation.
Solution:
In option A,
![-3k=19.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/jia1hm7itgt3smdlp0aan506rkbw8d7dyv.png)
![k=(19.5)/(-3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/iug1hlko3g58rgf6tvg90y41v6cb0d3wtb.png)
![k=-6.5\\eq 6.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/aqot3sh5gacujw0tt4zlww1fhmhz9dj5w7.png)
In option B,
![-1+k=7.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/zlplh05ihd9r27ewn98832hhvc6ep97u9a.png)
![k=7.5+1](https://img.qammunity.org/2021/formulas/mathematics/high-school/mrpq23e34907wxyysrfxnjdwpfyp38e7sr.png)
![k=8.5\\eq 6.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/v6in8ex7ncyhwq77ovy6sn3akujy1jtvwt.png)
In option C,
![-7k = -45.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/gmxbrujaczxmrxi8p5tyq2h9iqwk89srbv.png)
![k =( -45.5)/(-7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/g7xqxxqxtjjbs4wx4rd6aj1ddh6tpoywlv.png)
![k =6.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/2ogavusdfghawl3cyd7o1o3dnfzzur2ozv.png)
In option D,
![-2+k=-8.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/foiegz1apcoq5gstztjlzbgm2rx4ccttqj.png)
![k=-8.5+2](https://img.qammunity.org/2021/formulas/mathematics/high-school/fcs7omrhphkdbw80m6lc3whwo5z31dylff.png)
![k=-6.5\\eq 6.5](https://img.qammunity.org/2021/formulas/mathematics/high-school/aqot3sh5gacujw0tt4zlww1fhmhz9dj5w7.png)
Therefore, the correct option is C.