Question

the cost of 4 pencils ,3 pens and 2 erasers is Rs.60.the cost of 2 pencils,4 pens and 6 erasers omis Rs.90.whereas the cost of 6 pencils , 2 pens and 3 erasers is Rs.70.find the cost of each item by using matrices.​

Answer 1

Answer:

let the no of pencils be x,

no of pens be y

no of erasers be z

now by the given statements we can write as:

4x+3y+2z=60;-------eqn 1

2x+4y+6z=90--------eqn2

6x+2y+3z=70---------eqn3

hence we have 3eqn and also 3 variables i.e x,y and z

simply on solving these 3 eqns we get

x=5,y=8,z=8

cost of a pencil=5

cost of a pen=8

cost of a eraser=8

Step-by-step explanation:

Answer 2

Answer:

Cost of pencil - 5

Cost of pen - 8