The price of 2 notebooks and 3 pens is 69 rupees. The price of 6 notebooks and 2 pens is 186 rupees. What is the price of a notebook? What is the price of a pen?
Answers
Step-by-step explanation:
Let say price of one notebook is X, and price of one pen is Y.
2X+3Y =69
6X+2Y =186
By multiplying 2 in equation 1 and multiplying 3 in equation 2
4X+6Y=138
18Y+6Y=558
So by elimination method X is equal to 30.
Now if we put the value of X in equation 1
2*30+3Y=69
60+3Y=69
3Y=69-60
3Y=9
Y=3
Hence, The cost of a notebook is 30 rupees and the cost of a pen is 3 rupees.
Answer:
cost of a pen = 3rs
cost of a note book = 30rs
Step-by-step explanation:
2x + 3 y = 69- 1 equation
6x + 2y = 186- 2 equation
1--3--->2×3 + 3×3 = 69 × 3
---->6x + 9y = 207
6x + 9y = 207
6x + 2y = 186
________________
0x 7y = 21
y = 21/7
= 3 rs
cost of a pen = 3 rs
cost of a notebook = 2x + 3y = 69 ---- 1 equation
= 2x + 3×3 =69
= 2x + 9 = 69
2x = 69-9
= 2x = 60
x = 60/2
= 30 rs
cost of a notebook = 30rs
cost of a pen = 3 rs