Show me the steps to solve There are no values of d such that the following system is consistent:x + 3y = 1, 2x + 6y = d
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Question: Consider the system of linear equations. We want to find the values of X and Y in terms of a, b, c, and d.
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Theorem: A system of linear equations is consistent if and only if the rank of the augmented matrix A equals the rank of the matrix A. The augmented matrix A is obtained by adding the constant terms vector b as an extra column to the coefficient matrix of the system, A. Find the value of c such that the system: 2x + 1y = 2 cx + 6y = b has no solution.
-3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the following values of a does the system have no solution? A) -6 B) -3 C) 3 D) 6
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