# algebra

the cost of three markers and two pencils is 1.80
the cost of four markers and six pencils is 2.90
what is the cost of each item?

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1. 3x+4y=1.80
4x+6y=2.90
Do you know how to use elimination?

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posted by Jen
2. uhm no. explain the steps please?

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posted by lil
3. Ok, so if you make markers "x" and pencils "y", you get
3x+4y=1.80
4x+6y=2.90
Then you use elimination (by figuring out what to multiply one or both equations by to get rid of one of the variables, either x or y).
Multiplying the top equation by -4
and the bottom equation by 3 to eliminate the x's gives us
-12x-16y=-7.2
12x+18y=8.7
2y=1.5
Divide both sides by 2
y=?
Plug that back into any of your equations to solve for x.
Once you get your answers, feel free to post them if you want them checked.

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posted by Jen
4. thanks so much. do you have time for one more problem ?

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posted by lil
5. Sure, are you still on?

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posted by Jen

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