Question

The cost of ball pen is Rs. 5 less than half of the cost of fountain pen, the statement when represented as a linear equation in two variables taking cost of ball pen as Rs. x and cost of a fountain pen is Rs. y is

Answer 1

Answer:

Step-by-step explanation:

y=\frac{1}{2}x-5

Step-by-step explanation:

Given : The cost of a ball pen is Rs.5 less than half of the cost of fountain pen.

To Find: write this statement as a linear equations in two variables.

Solution:

Let the cost of fountain pen be x

Let the cost of ball pen be y

Now we are given that the cost of a ball pen is Rs.5 less than half of the cost of fountain pen.

So, A.T.Q

y=\frac{1}{2}x-5

Hence the given statement as a linear equations in two variables is y=\frac{1}{2}x-5

Answer 2

Question:-

The cost of ball pen is Rs. 5 less than half of the cost of fountain pen, the statement when represented as a linear equation in two variables taking cost of ball pen as Rs x and cost of a fountain pen is Rs y .

Solution:-

{ According to question }

--› Cost of ball pen is Rs x

--› Cost of fountain pen is Rs y

As we know according to question

The cost of ball pen is Rs. 5 less than half of the cost of fountain pen.

Hence,

${ \sf{ \dashrightarrow{ x \: = \frac{1}{2}y - 5 }}}$

{ Linear equation of two variable is represented as ax + by + c = 0 }

Now multiplying both side by 2 we get

${ \sf{ \dashrightarrow{ 2x \: = y - 10 }}}$

so now,

${ \sf{ \dashrightarrow{ 2x - y + 10 = 0}}}$

Hence, equation of statement

is : 2x - y + 10 = 0