SOLUTION: i want to know how to set up a problem like this for setting up linear equations three pens and two notebooks cost $8.25. Two pens and three notebooks cost $8.00. How much

Question 117841This question is from textbook
: i want to know how to set up a problem like this for setting up linear equations

three pens and two notebooks cost $8.25. Two pens and three notebooks cost $8.00. How much would two pens and two notebooks cost This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
three pens and two notebooks cost $8.25. Two pens and three notebooks cost $8.00. How much would two pens and two notebooks cost
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Let the cost of one pen be "p"; Let the cost of one notebook be "n".
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EQUATIONS:
3p + 2n = 8.25
2p + 3n = 8.00
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Multiply thru 1st by 2; Multiply thru 2nd by 3.
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6p + 4n = 16.50
6p + 9n = 24.00
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Substract 1st from 2nd to solve for "n":
5n = 7.50
n = $1.50 (cost of one notebook)
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Substitute to solve for "p":
6p + 4(1.50) = 16.50
6p + 6.00 = 16.50
6p = 10.50
p = $1.75 (cost of one pen)
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Cheers,
Stan H.

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