Question

The Price of 3 Pens and 4 Pencils to gether 52 the price of 6 pens and 3pencils of the same type is 84 find the price of pen and pencil
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Answer 1

pencil be x

pen be y

according to condition

3y+4x=52. -1

6y+3x= 84. -2

multiple eq1 by 2 and 2by 1

6y+8x= 104 -3

6y+3x= 84. -4

subtractingeq3and4

6y + 8x =104

6y + 3x = 84

we get 5x= 20

x= 4

put value in eq1

3y +4x = 52

3y+ 16 = 52

3y= 52-16

3y= 36

y= 12