the price of 5 pens and 4 pencil is rs 70,the price of 3 pens and 7 pens is 65 rs .find the price of one pen and pencil
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Let pencil be y and let pen be x
5x+4y=70
3x+7y=65
Multiply the first equation by 3
15x+12y=210
Multiply the second equation by 5
15x+35y=325
solving them we get
23y=115
y=115/23
y=5
which gives y is 5 rupees
substituting in the second equation we get
X= 10 rupees
therefore, cost of one pen is 10 rupees and cost of one pencil is 5 rupees
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