Question

solve and check 6x solvent x 6 x minus 2 by 5 is equal to 2 x minus 1 by 3 minus 1 by 3

Answer 1

Let solvent be d

6 x d x 6 x -2/5 = 2 x -1/3 -1/3

36 x -2/5 x d = 2 x -2/3

-72/5 x d = -4/3

d = -4/3 x -5/72 = 20/216 = 0.0925

Answer 2

Solvent  = 0.092

Step-by-step explanation:

Let the value for solvent = s

The given equation is $6 \times 6 \times s \times  (\frac{-2}{5})   =  2 \times (\frac{-1}{3}) - (\frac{1}{3})$

Solving both sides, we get

$36s \times (\frac{-2}{5})   = 2 \times   (\frac{-2}{3})$

Simplifying for s, we get  

$(\frac{-72}{5}) s  = (\frac{-4}{3} )$

or, s= $\frac{4}{3}  \times\frac{5}{72}$  

⇒ s = 20/216 = 0.092

CHECK:  

Putting the value of s = 0.092 on both sides

Left hand side:   6 x s x 6 x (-2/5) = 36 x (-0.4)  x 0.092 = -1.3248

Right side = 2 x (-2/3)  = -1.33

Since, LHS =RHS

Hence Verified