Can you please help with this problem:

Question

At Super Saver Mart (SSM), you can buy three packs of toilet paper and seven boxes of cereal for $46.00. You can also purchase 8 packs of toilet paper and 4 boxes of cereal for $75.00 at SSM. What is $14 more than the combined price of one pack of toilet paper and one box of cereal? Write a system of equations for this situation and find its solution.

This is what I have so far:

3x + 7y = $46.00
8y + 4y = $75.00

7y = 46.00 + 3x

I am not sure what my next step would be...please help

Answer 1

First of all , define your variables

3x + 7y = $46.00
8x + 4y = $75.00 <----- notice correction

3x + 7y = $46.00 (times 8): 24x + 56y = 368
8x + 4y = $75.00 (times 3): 24x + 12y = 225

subtract them:
44y = 143
y = 3.25

go back into one of the original equations to find x, then follow the instructions.