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,
[tex]-3k=19.5[/tex]
[tex]k=\dfrac{19.5}{-3}[/tex]
[tex]k=-6.5\neq 6.5[/tex]
In option B,
[tex]-1+k=7.5[/tex]
[tex]k=7.5+1[/tex]
[tex]k=8.5\neq 6.5[/tex]
In option C,
[tex] -7k = -45.5[/tex]
[tex] k =\dfrac{ -45.5}{-7}[/tex]
[tex] k =6.5[/tex]
In option D,
[tex]-2+k=-8.5[/tex]
[tex]k=-8.5+2[/tex]
[tex]k=-6.5\neq 6.5[/tex]
Therefore, the correct option is C.
