what is the cost of the 2 pairs of socks

Question

Two pairs of socks and a pair of slippers cost $30. Five pairs of socks and a pair of slippers cost $42. Let x 

represent the cost of a pair of socks and let  represent the cost of a pair of slippers.

Identify the system of equations that represents the situation and identify the solution to the system of equation.

System of Equations   [      ]

                             (      ,      )

Solution      A pair of socks costs $[         ]  and a pair of slippers costs $   [        ]

Answers: 

{2x+y=30;5x+y=42    {x+2y=30;x+5y=42 

2 4 5 22 30 42 

Answer 1

2x+y=30

5x+y=42

3x=12

x=4

y=22

Well, of course, 2 pairs of socks cost $8!

But the algebra above should be self-explanatory and if it is not, perhaps you need a tutoring session!