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 variabl

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

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Amelia 3 months 2021-11-06T14:08:19+00:00 2 Answers 0 views 0

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    0
    2021-11-06T14:09:38+00:00

    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

    0
    2021-11-06T14:09:54+00:00

    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

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