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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.
$

Respuesta :

calculista

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

[tex]2x+4y=109[/tex] ----> equation A

[tex]3x+5y=160[/tex] ---> 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

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