Posted by **lil** on Wednesday, June 2, 2010 at 7:26pm.

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?

- algebra -
**Jen**, Wednesday, June 2, 2010 at 7:27pm
3x+4y=1.80

4x+6y=2.90

Do you know how to use elimination?

- algebra -
**lil**, Wednesday, June 2, 2010 at 7:32pm
uhm no. explain the steps please?

- algebra -
**Jen**, Wednesday, June 2, 2010 at 7:36pm
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

Add the equations together

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.

- algebra -
**lil**, Wednesday, June 2, 2010 at 7:42pm
thanks so much. do you have time for one more problem ?

- algebra -
**Jen**, Wednesday, June 2, 2010 at 11:13pm
Sure, are you still on?

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