Question

4pens and 5pencil together cost rs 25 represent this in the form of linear equations in two variables​

Answer 1

Given :- 4pens and 5pencil together cost rs 25 represent this in the form of linear equations in two variables ?

Answer :-

Let us assume that, cost of 1 pen is Rs.x and cost of 1 pencil is Rs.y.

so,

→ cost of 1 pen = Rs.x

then

→ cost of 4 pens = cost of 1 pen * 4 = x * 4 = Rs. 4x

similarly,

→ cost of 1 pencil = Rs.y

then

→ cost of 5 pencils = cost of 1 pencil * 5 = y * 5 = Rs. 5y .

therefore,

→ cost of 4 pens + cost of 5 pencils together = Rs.25

→ 4x + 5y = 25

hence, required linear equations in two variables will be 4x + 5y = 25 .

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Answer 2

SOLUTION

TO DETERMINE

4 pens and 5 pencil together cost Rs 25 represent this in the form of linear equations in two variables

CONCEPT TO BE IMPLEMENTED

Linear Equation

A linear equation is an algebraic equation consisting of variables and constants and equality sign in which each term has an exponent of one

REASON BEHIND THE NAME

If you plot the solutions of a linear equation in Cartesian Coordinate system the results in a straight line.

EVALUATION

Let price of each pen = Rs m and price of each pencil = Rs n

Now price of 4 pens = Rs 4m

Price of 5 pencils = Rs 5n

So total price = Rs ( 4m + 5n )

Now it is given that 4 pens and 5 pencil together cost Rs 25

So the required Linear equation is

$\sf{4m + 5n = 25}$

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