The matrix represents a system of equations. the 3 by 4 matrix, row 1, column 1, 2 column 2, negative 1 column 3, 1 column 4, 5 row 2, column 1, 1 column 2, 1 column 3, negative 1 column 4, negative 2 row 3, column 1, 1 column 2, 0 column 3, negative 3 column 4, negative 5 What is the solution to this system of equations?
Answer
A
A is equal to 3 comma b is equal to negative 3 comma c is equal to 2
B
A is equal to 1 comma b is equal to negative 1 comma c is equal to 2
C
A is equal to 2 point 5 comma b is equal to negative 3 comma c is equal to 2
D
A is equal to 1 point 5 comma b is equal to negative 1 comma c is equal to 2
Explanation
The augmented matrix gives the equations 2a − b + c = 5, a + b − c = −2, and a − 3c = −5. Substituting a = 1, b = −1, and c = 2 gives 5, −2, and −5, respectively, so all three equations are satisfied. The solution is a = 1, b = −1, c = 2.
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