Question

Cost of a table is Rs 100 more than cost of 3 chairs. The above statement can be expressed as a linear equation as if cost of a table is Rs x and cost of a chair is Rs. y..
(a) x-3y+ 100 = 0 (b) x + 3y + 100 = 0 (c) x +3y 100 =0 (d) x - 3y - 100 = 0
correct answer will be marked as brainlist
explain the answer pls

Answer 1

Given that:

• Cost of a table is Rs 100 more than cost of 3 chairs.
• Cost of a table is Rs. x.
• Cost of a chair is Rs. y.

To Express:

• Above statement as a linear equation.

By unitary method.

• Cost of a chair = Rs. y
• Cost of 3 chairs = Rs. 3y

According to the question.

Cost of a table = Cost of 3 chairs + 100

Putting all the given values.

↠ x = 3y + 100

↠ x - 3y - 100 = 0

Hence,

• The correct option is (d) x - 3y - 100 = 0.

Answer 2

Answer:

d) x - 3y - 100 = 0

Step-by-step explanation:

Given that the cost of a table is Rs. 100 more than cost of 3 chairs. Also said that the cost of a table is Rs. x and of chair is Rs. y.

We need to express the above statement in the form of linear equation.

As per given statement,

Cost price of table = 100 + Cost price of 3 chairs

→ x = 100 + 3y

→ x - 3y - 100 = 0

Therefore, the correct option is option d) x - 3y - 100 = 0

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ANOTHER EXAMPLE:

Let's take one one example to solve such type of questions. "The price of a table is 10 times the price of a chair and one table and 4 chairs together cost 28000 rupees. We need to find out the price of the table and price of a chair."

Let's say the the price of the table is Rs. x and price of a chair is Rs. y.

As per given statement, 'price of the table is 10 times the price of a chair' i.e.

→ Price of the table = 10 × price of a chair

→ x = 10y ------(eq1)

Also, one table i.e. 'x' and 4 chairs i.e. '4y' together cost Rs. 28000. Means the sum of one table and 4 chairs is Rs. 28000.

→ x + 4y = 28000

→ 10y + 4y = 28000. [ From (eq 1) ]

→ 14y = 28000

→ y= 2000

Substitute value of y in (eq 1)

→ x = 10(2000)

→ x = 20000

Hence, the price of the table is Rs. 20000 and price of the chair is Rs. 2000.

In the form of linear equation: The price of a table is 10 times the price of a chair. And the cost of table is Rs. x and chair is Rs. y. Then, it's linear equation is x - 10y = 0.