Two families are shopping for a camping trip. the first family buys 3 flashlights and 4 sleeping bags at a cost of $118. the second family buys 5 flashlights and 6 sleeping bags at a cost of $180. how much does each flashlight and sleeping bag cost? let x = the cost of a flashlight let y = the cost of a sleeping bag what is the first equation? what is the second equation? what is the cost of a sleeping bag?

3x +4y = 118

5x+6y =180

y= $25

Step-by-step explanation:

Let x = the cost of a flashlight

Let y = the cost of a sleeping bag

3x +4y = 118

5x+6y =180

Multiply the first equation by -5

-5(3x +4y) = -5*118

-15x -20y = -590

Multiply the second equation by 3

3(5x+6y) =3*180

15x + 18y = 540

Add the modified equations together.

We are using elimination to eliminate the variable x

-15x -20y = -590

15x + 18y = 540

-2y = -50

Divide by -2

-2y/-2 = -50/-2

y =25

Each sleeping bag costs $25

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