Question

2/5k - 3 1/2. K= 15 EVALUATE

Answer 1

Exact form
K=-150\31

Answer 2

Answer:

Solving the expression: $\frac{2}{5}K-3\frac{1}{2}K =15$ we get $\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }$

Step-by-step explanation:

We need to solve the expression: $\frac{2}{5}K-3\frac{1}{2}K =15$ and find value of k

Solving:

$\frac{2}{5}K-3\frac{1}{2}K =15$

Convert mixed fraction into improper fraction

$\frac{2}{5}K-\frac{7}{2}K =15$

Taking LCM of 5 and 2 we get 10

$\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15$

Divide both sides by -31/10

$\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}$

So, solving the expression: $\frac{2}{5}K-3\frac{1}{2}K =15$ we get $\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }$