Question

Formulate a pair of linear equation in two variable "3 pens and 4 books together cost Rs.50 whereas 5 pens and 3 books together cost Rs.54".

Answer 1

Answer:

Here is your answer...

Step-by-step explanation:

Let take pens as 'x' and books as 'y'

Now according to problem,

3x+4y=50

and

5x+3y=54

HOPE THIS HELPS YOU.....

Answer 2

Given:

A set of stationery items:

1. 3 pens and 4 books costing 50 rupees.

2. 5 pens and 3 books costing 54 rupees.

To Find:

The linear equations of the above constraints.

Solution:

The given problem can be solved using the concepts of straight lines.

1. Assume the number of pens as x and the number of books as y.

2. Consider a straight line ax + by + c = 0.

• The coefficient of x implies the number of times x has been repeated.
• The coefficient of y implies the number of times y has been repeated.
• The constant c implies the sum of the combination of a times x plus b times y.

3. The equation ax + by + c = 0 implies,

=> x repated a times + y repeated b times + c (constant) = 0.

4. Using the above concept the linear equations can be formed.

=> The linear equation for 3 pens and 4 books costing 50 rupees is 3x + 4y = 50.

=> The linear equation for 3 pens and 4 books costing 50 rupees is 5x + 3y = 54.

Therefore, the linear equations in the 2 cases are 3x + 4y = 50 and 5x + 3y = 54 respectively.