The cost of 6 hats and 1 scarf is $47. The cost of 3 hats and 2 scarves
is $40. Use h for hats and s for scarves.

The cost of scarf is $11 and the cost of hat is $6.

Step-by-step explanation:

Let us assume :

Given that,

The cost of 6 hats and 1 scarf is $47

⇒ 6h + s = 47  (1)

The cost of 3 hats and 2 scarves  is $40

⇒ 3h + 2s = 40  (2)

Solving the equations to find x and y values :

Multiply eq(2) by 2 and subtract eq(2) from eq(1),

  6h + s = 47

-(6h + 4s = 80)

       -3s  = - 33

-3s = - 33

s =33/3

s = 11

The cost of scarf is $11.

Substitute s=11 in eq(1),

6h + 11 = 47

6h = 47 - 11

6h = 36

h = 36/6

h = 6

The cost of hat is $6.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this