Which system of linear equations can be solved using the given information? start absolute value cap A sub x end absolute value is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 4 row 2, column 1, negative 6 column 2, 1 start absolute value cap A sub y end absolute value is equal to the 2 by 2 matrix, row 1, column 1, negative 5 column 2, 3 row 2, column 1, negative 8 column 2, negative 6
Answer
A
4 x plus y is equal to negative 6 negative 5 x minus 8 y is equal to 3
B
4 x plus y is equal to 3 negative 5 x minus 8 y is equal to negative 6
C
4 x minus 5 y is equal to 3 x minus 8 y is equal to negative 6
D
negative 5 x plus 4 y is equal to 3 negative 8 x plus y is equal to negative 6
Explanation
In Cramer’s rule, the matrix for Aₓ has the constants in the x-column and the y-coefficients in the other column. So the constants are 3 and −6, and the y-coefficients are 4 and 1. The matrix for Aᵧ shows the x-coefficients −5 and −8 alongside those same constants. Therefore the system is −5x + 4y = 3 and −8x + y = −6, which is choice D.
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