Which value of k gives the solution x = 10 and y = 5 for the linear equation x = 4y - 2k ?

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-4

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-2

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Solution

The correct option is D 5
Substituting the values of x and y in the given equation.
x = 4y - 2k
$\Rightarrow$ 10 = (4 $\times$ 5) - 2k.
$\Rightarrow$ 10 = 20 - 2k.
$\Rightarrow$ 2k = 20 - 10 = 10
Hence, k = 5

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