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For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.

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For what value of c, the linear equation 2x + cy = 8 has equal values of x and y for its solution.

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The given linear equation is 2x + cy = 8. …(i)

Now, by condition, x and y-coordinate of given linear equation are same, i.e., x = y.

Put y = x in Eq. (i), we get

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