i have trouble with word problems. translate the following into a system of equa

Question

i have trouble with word problems. translate the following into a system of equations, then solveusin eliminatin or substitution. be sure to say what quanity eachvariable represents. a customer walks into an electronics store and buys four mp3players and six sets of headphones, paying $740. a second customerbuys five mp3 players and four sets of headphones, and pays $785.how much is the mp3 players and headphones? i have trouble with word problems. translate the following into a system of equations, then solveusin eliminatin or substitution. be sure to say what quanity eachvariable represents. a customer walks into an electronics store and buys four mp3players and six sets of headphones, paying $740. a second customerbuys five mp3 players and four sets of headphones, and pays $785.how much is the mp3 players and headphones?

Explanation / Answer

Don't forget to rate! let x = cost of mp3 players let y = cost of headphones first customer: 4x + 6y = 740 second customer: 5x + 4y = 785 You want the systems of equations to have at least one opposite setof variables for elimination. I will choose to make the y's opposite, so I will multiply thefirst equation by 2 and the second equation by -3. new equations:    8x + 12y = 1480 -15x - 12y = -2355 Then add the equations: -7x = -875 x = 125 Plug x back into any equation to solve for y: 4(125) + 6y = 740 500 + 6y = 740 6y = 240 y = 40 So mp3 players cost $125 and headphones cost $40.

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