What is the value of x in the matrix equation? 3 halves the 2 by 2 matrix row 1, x 6 row 2, 8 4 plus y the 2 by 2 matrix row 1, 1 4 row 2, 3 2 is equal to the 2 by 2 matrix, row 1, column 1, z column 2, z row 2, column 1, 6 z column 2, 2

From the bottom-right entries, 6 + 2y = 2, so y = -2. The top-right entries then give 9 + 4(-2) = z, so z = 1. Using the top-left entries, (3/2)x + y = z, which becomes (3/2)x - 2 = 1; therefore x = 2, choice A.

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