Question

Use two equations in two variables to solve the application.

Two pairs of shoes and four pairs of socks cost $109, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks.
$

Answer 1

Answer:

The  of a pair of socks is $3.5

Step-by-step explanation:

Let

x ---> the cost of a pair of shoes

y ---> the cost of a pair of socks

we know that

$2x+4y=109$ ----> equation A

$3x+5y=160$ ---> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graph

using a graphing tool

The solution is the point (47.5,3.5)

see the attached figure

therefore

The  of a pair of socks is $3.5