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Mathematics, 06.01.2021 17:00 carlalopezelox9533

Robbie pays 10.80 dollars when he buys 3 notebooks and 4 pencils Paniz pays 14.50 dollars when he buys 5 notebooks and 2 pencils

Write down simultaneous equations and use them to find the cost of a notebook and the cost of a pencil.

Answer :
Let x = price of 1 notebook
Let y = price of 1 pencil
Change to dollars into cents then back to dollars
3x +4y = 1080
5x + 2y = 1450
- To make 2y equal to 4y multiply equation 2 by 2
New Equations :
3x + 4y = 1080
10x + 4y = 2900
Subtract to remove y :
-7x = -1820
-1820 / - 7
X = 2.6 dollars / 260 cents
To find y replace x with 260
3(260) + 4y = 1080
780 + 4y = 1080
Y = 0.75 dollars / 75 cents

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