Solve the mixed fraction first,
[tex] -2\frac{1}{2} +k =-2 \frac{5}{7} [/tex]
2 x 2 + 1 = 5
7 x 2 + 5 =19
New fraction would be,
[tex] -\frac{5}{2} [/tex] + k = [tex]- \frac{19}{7} [/tex]
Solve for k,
k = [tex] -\frac{19}{7} + \frac{5}{2} [/tex]
add fraction, by making one denominator
k = [tex] \frac{-38+35}{14} [/tex]
k=[tex]- \frac{3}{14} [/tex]
Thus, k = [tex]- \frac{3}{14} [/tex]
