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in the book store,pencils and pens cost.different amount .two pencils and3 pens cost php50 the total cost of 3 pencils and 2 pens is php 45 what is the cost of 1 pencils

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Mlcparra16id
Let the cost of one pencil be a and the cost of one pen be b.

2a + 3b = 50 ... [1]
3a + 2b = 45 ... [2]

3[2] - 2[1]
9a + 6b = 135
-4a - 6b = -100
     5a  = 35
      a   = 7

Therefore the cost of one pencil is 7 pesos.