Question

Formulate a pair of linear equations in two variables for the given data "3 pens and 4 books together cost Rs 50 whereas 5 pens and 3 books of same kind together cost Rs. 54".​

Answer 1

Let the cost of pens be x

and cost of books be y

So, 3 x + 4 y = 50

and , 5 x + 3 y = 54

By solving these equations by elimination method.

We get x = 6 and y = 8

Therefore the cost of one pen is 6 rupees

and cost of one book is 8 rupees

I Hope it will help you

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Answer 2

Answer:

$3p + 4b = 50\\5p + 3b = 54$

Step-by-step explanation:

Concept : If equation is in form of ax+by+c=0, then that type of equation will be known as linear equation, where terms a,b,c are coefficient of x and y respectively and are real numbers, and not equal to zero.

Solution : To formulate the linear equation we have to assign variables for the equation

Let cost of one pen be p and one book be b,

Then cost of three pens may be 3p and four books may be 4b which may be written as    $3p + 4b = 50$

Similarly, Then cost of five pens may be 5p and three books may be 3b which may be written as    $5p + 3b = 54$

Hence the required pair of linear equations are

$3p + 4b = 50\\5p + 3b = 54$

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