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The cost of coloured paper is r 7 more t...

The cost of coloured paper is r 7 more than `1//3` of the cost of white paper wirte this statement in linear equation in two variables

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To convert the statement "The cost of coloured paper is Rs 7 more than `1/3` of the cost of white paper" into a linear equation in two variables, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Variables**: - Let the cost of coloured paper be \( x \). - Let the cost of white paper be \( y \). 2. **Translate the Statement into an Equation**: - The phrase "Rs 7 more than `1/3` of the cost of white paper" can be expressed mathematically. - One-third of the cost of white paper can be written as \( \frac{y}{3} \). - Therefore, Rs 7 more than this amount can be expressed as \( \frac{y}{3} + 7 \). 3. **Set Up the Equation**: - According to the problem, the cost of coloured paper \( x \) is equal to Rs 7 more than one-third of the cost of white paper. - This gives us the equation: \[ x = \frac{y}{3} + 7 \] 4. **Rearranging the Equation**: - To express this in a standard linear form, we can eliminate the fraction by multiplying the entire equation by 3: \[ 3x = y + 21 \] 5. **Final Form of the Linear Equation**: - Rearranging gives us: \[ 3x - y = 21 \] ### Final Answer: The linear equation in two variables based on the given statement is: \[ 3x - y = 21 \]
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