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If (2, −5) is the solution of the equation 2x − ky = 14, then find k = ? - Algebra

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Question

If (2, −5) is the solution of the equation 2x − ky = 14, then find k = ?

Sum

Solution

(2, – 5) is the solution of 2x – ky = 14.

Substituting x = 2, y = – 5 in 2x – ky = 14, we get

2(2) – k(– 5) = 14

∴ 4 + 5k = 14

∴ 5k = 14 – 4 = 10

∴ k = `10/5` = 2

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Chapter 1: Linear Equations in Two Variables - Q.2 (B)

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SCERT Maharashtra Algebra (Mathematics 1) [English] 10 Standard SSC
Chapter 1 Linear Equations in Two Variables
Q.2 (B) | Q 5

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