two pairs of shoes and 3 pairs of socks cost $86. Three pairs of the same shoes and 4 pairs of socks cost $28. How much is each pair of shoes and each pair of socks cost?​

Below.

Step-by-step explanation:

Let S = number of SHOES

Let K = number of pairs of SOCKS

First Equation:         2S + 3K = 86

Second Equation:   3S + 4K = 128

Multiply First Equation by 3:  

6S + 9K = 258

Multiply Second Equation by -2:  

-6S - 8K =  - 256

Add the two new equations together:

K            = 2        So, each pair of SOCKS cost $2

Plug 2 into the First Equation:

2S + (3)(2) = 86

2S + 6        = 86

2S              = 80

S                = 40. So, each pair of SHOES cost $40

ANSWER: THE COST OF A SINGLE PAIR OF SHOES AND SOCKS COST $42

CHECKING:

PLUG values of 40 and 2 into First Equation:

2S + 3K = (2)(40) + 3(2) = 80 + 6 = 86    Yes!

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step-by-step explanation: