low price of 3 chairs and tables 4500 rupees price of 5 chairs and 3 table is 7000 Rupees then find the total price of two chairs and tables
Answers
Step-by-step explanation:
take cost of chair = X
and cost of table =Y
3x+3y=4500
5x+3y=7000
by additive inverse it becomes
3x+3y=4500
-5x-3y=-7000
it becomes
-2x=-2500
minus sinse get cancelled
x=1250
from substituting from 1st equation
y=3(1250)+3y=4500
y=3750+3y=4500
3y=4500-3750
3y=750
y=750/3
y=250
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Answer:
The total price of two chairs and two tables is rupees 4000.
Step-by-step explanation:
3x + 2y = 4500 ... (1)
From the second condition,
5x + 3y = 7000 ... (2)
Multiplying equation (1) by 3 and equation (2) by 2,
9x + 6y = 13500 ... (3)
10x + 6y = 14000 ... (4)
Subtracting equation (3) from equation (4),
(10x + 6y = 14000)
-(9x + 6y = 13500)
——————————
x + 0 = 500
=> 2x = 2 × 500 = 1000 ... (5)
Substituting x = 599 in equation (1)
3(500) + 2y = 4500
=> 1500 + 2y = 4500
=> 2y = 4500 - 1500
=> 2y = 3000 ... (6)
Now, the price of 2 chairs and 2 tables is
Rupees(1000 + 3000) [From (5) and (6)]
= rupees 4000
Hence, the total price of 2 chairs and 2 tables is rupees 4000.
Hope it helps :)