You collect $20.92 for selling 4 video games and 2 cellphones on a website. Your friend collects $23.44 for selling 4 video games and 3 cellphones on the website. How much do you collect for each video game?

Answer: D

Step-by-step explanation:

x = video games

y = cellphone

Equation: (1) 4x + 2y = 20.92

                (2) 4x + 3y = 23.44

               _________________

                              y = 2.52

4x + 2y = 20.92

4x + 2(2.52) = 20.92

4x = 20.92 - [ 2(2.52) ]

4x = 15.88

x = 3.97

Amount collected for each video game is option D. $3.97.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Let x be the amount got for selling one video game and y be the amount got for selling cellphones.

You collect $20.92 for selling 4 video games and 2 cellphones on a website.

4x + 2y = 20.92

4x = 20.92 - 2y

Your friend collects $23.44 for selling 4 video games and 3 cellphones on the website.

4x + 3y = 23.44

4x = 23.44 - 3y

Equating both the equations,

20.92 - 2y = 23.44 - 3y

Simplifying,

y = 2.52

Substituting y = 2.52 in 4x + 2y = 20.92,

4x = 15.88

x = 3.97

Hence the amount for selling one video game is $3.97.

Learn more about Solving Linear Equations here :

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