Question

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

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

Answer 1

Answer: See explanation

Explanation:

The information given in the question can be turned into an equation as:

2u + y = 30 ........ i

5u + y = 42 ........ ii

Subtract i from ii

3u = 12

u = 12/3 = 4

A pair of socks cost $4

Since 2u + y = 30

2(4) + y = 30

8 + y = 30

y = 30 - 8 = 22

A pair of slippers cost $22