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What is the value of (x) from (\frac{x}{5}+\frac{y}{2}=7) and (\frac{x}{3}-\frac{y}{4}=1)?

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Answer and explanation

Correct answer: (x=\frac{135}{13})

After clearing denominators, (2x+5y=70) and (4x-3y=12) are obtained. Elimination gives (x=\frac{135}{13}).

Tags

linear equationsfraction equationseliminationhardclass 10

Frequently asked questions

What is the correct answer to this question?

(x=\frac{135}{13})

Why is this the correct answer?

After clearing denominators, (2x+5y=70) and (4x-3y=12) are obtained. Elimination gives (x=\frac{135}{13}).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..

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