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Question

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

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Solution

Given equation: x = 4y - 2k ......(I)
Also,
x = 10 and y = 5 (given)
Putting value of x,y = 10,5 in equation (I) we get,
x = 4y - 2 k
10 = 4(5) - 2(k)
10 = 20 - 2k
2k = 20 - 10
2k = 10
k = 5
So, the value of k is 5.

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